250545082994640 has 1280 divisors, whose sum is σ = 1051914387456000. Its totient is φ = 53608233369600.

The previous prime is 250545082994617. The next prime is 250545082994659. The reversal of 250545082994640 is 46499280545052.

250545082994640 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 4 + 5 + 0 + 82 + 99 + 464 + 0 = 666.

It is a super-2 number, since 2×250545082994640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1763722336 + ... + 1763864384.

It is an arithmetic number, because the mean of its divisors is an integer number (821808115200).

Almost surely, 2^{250545082994640} is an apocalyptic number.

250545082994640 is a gapful number since it is divisible by the number (20) 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 250545082994640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525957193728000).

250545082994640 is an abundant number, since it is smaller than the sum of its proper divisors (801369304461360).

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

250545082994640 is a wasteful number, since it uses less digits than its factorization.

250545082994640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142233 (or 142221 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 250545082994640 in words is "two hundred fifty trillion, five hundred forty-five billion, eighty-two million, nine hundred ninety-four thousand, six hundred forty".