10156742756864 has 480 divisors, whose sum is σ = 24686544960000. Its totient is φ = 4151918960640.

The previous prime is 10156742756803. The next prime is 10156742756899. The reversal of 10156742756864 is 46865724765101.

It is a super-2 number, since 2×10156742756864² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10156742756797 and 10156742756806.

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, 3763148987 + ... + 3763151685.

It is an arithmetic number, because the mean of its divisors is an integer number (51430302000).

Almost surely, 2^{10156742756864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10156742756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343272480000).

10156742756864 is an abundant number, since it is smaller than the sum of its proper divisors (14529802203136).

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

10156742756864 is a wasteful number, since it uses less digits than its factorization.

10156742756864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 62.

The spelling of 10156742756864 in words is "ten trillion, one hundred fifty-six billion, seven hundred forty-two million, seven hundred fifty-six thousand, eight hundred sixty-four".