250290012690432 has 1152 divisors, whose sum is σ = 882971893440000. Its totient is φ = 69831893975040.

The previous prime is 250290012690427. The next prime is 250290012690437. The reversal of 250290012690432 is 234096210092052.

250290012690432 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 9 + 0 + 0 + 126 + 90 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (250290012690427) and next prime (250290012690437).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×250290012690432² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250290012690437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29106870069 + ... + 29106878667.

It is an arithmetic number, because the mean of its divisors is an integer number (766468657500).

Almost surely, 2^{250290012690432} is an apocalyptic number.

250290012690432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250290012690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441485946720000).

250290012690432 is an abundant number, since it is smaller than the sum of its proper divisors (632681880749568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

250290012690432 is a wasteful number, since it uses less digits than its factorization.

250290012690432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 250290012690432 in words is "two hundred fifty trillion, two hundred ninety billion, twelve million, six hundred ninety thousand, four hundred thirty-two".