10192371057792 has 1152 divisors, whose sum is σ = 37736774449920. Its totient is φ = 2632635371520.

The previous prime is 10192371057773. The next prime is 10192371057851. The reversal of 10192371057792 is 29775017329101.

10192371057792 is a `hidden beast` number, since 10 + 19 + 2 + 37 + 10 + 577 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22013760153 + ... + 22013760615.

It is an arithmetic number, because the mean of its divisors is an integer number (32757616710).

Almost surely, 2^{10192371057792} is an apocalyptic number.

10192371057792 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 10192371057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18868387224960).

10192371057792 is an abundant number, since it is smaller than the sum of its proper divisors (27544403392128).

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

10192371057792 is a wasteful number, since it uses less digits than its factorization.

10192371057792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 10192371057792 in words is "ten trillion, one hundred ninety-two billion, three hundred seventy-one million, fifty-seven thousand, seven hundred ninety-two".