10627197792 has 96 divisors (see below), whose sum is σ = 28904730624. Its totient is φ = 3415219200.

The previous prime is 10627197787. The next prime is 10627197809. The reversal of 10627197792 is 29779172601.

10627197792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10627197792² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 799908 + ... + 813084.

It is an arithmetic number, because the mean of its divisors is an integer number (301090944).

Almost surely, 2^10627197792 is an apocalyptic number.

10627197792 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 10627197792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14452365312).

10627197792 is an abundant number, since it is smaller than the sum of its proper divisors (18277532832).

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

10627197792 is a wasteful number, since it uses less digits than its factorization.

10627197792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13492 (or 13484 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 51.

The spelling of 10627197792 in words is "ten billion, six hundred twenty-seven million, one hundred ninety-seven thousand, seven hundred ninety-two".