1250085734352 has 720 divisors, whose sum is σ = 4525701193728. Its totient is φ = 315087252480.

The previous prime is 1250085734351. The next prime is 1250085734477. The reversal of 1250085734352 is 2534375800521.

1250085734352 is a `hidden beast` number, since 1 + 2 + 500 + 8 + 57 + 3 + 43 + 52 = 666.

It is a super-2 number, since 2×1250085734352² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1250085734298 and 1250085734307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1250085734351) 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 143 ways as a sum of consecutive naturals, for example, 344279577 + ... + 344283207.

Almost surely, 2^{1250085734352} is an apocalyptic number.

1250085734352 is a gapful number since it is divisible by the number (12) 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 1250085734352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262850596864).

1250085734352 is an abundant number, since it is smaller than the sum of its proper divisors (3275615459376).

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

1250085734352 is a wasteful number, since it uses less digits than its factorization.

1250085734352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 1250085734352 in words is "one trillion, two hundred fifty billion, eighty-five million, seven hundred thirty-four thousand, three hundred fifty-two".