10075692501252 has 144 divisors (see below), whose sum is σ = 29663084086272. Its totient is φ = 2823850149120.

The previous prime is 10075692501227. The next prime is 10075692501269. The reversal of 10075692501252 is 25210529657001.

10075692501252 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 5 + 6 + 92 + 501 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10075692501198 and 10075692501207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64444758 + ... + 64600914.

It is an arithmetic number, because the mean of its divisors is an integer number (205993639488).

Almost surely, 2^{10075692501252} is an apocalyptic number.

10075692501252 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 10075692501252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831542043136).

10075692501252 is an abundant number, since it is smaller than the sum of its proper divisors (19587391585020).

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

10075692501252 is a wasteful number, since it uses less digits than its factorization.

10075692501252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161058 (or 161053 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 10075692501252 in words is "ten trillion, seventy-five billion, six hundred ninety-two million, five hundred one thousand, two hundred fifty-two".