10792919654400 has 1344 divisors, whose sum is σ = 40204039276800. Its totient is φ = 2536998174720.

The previous prime is 10792919654389. The next prime is 10792919654401. The reversal of 10792919654400 is 445691929701.

It is a happy number.

It is a super-2 number, since 2×10792919654400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10792919654401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17436057291 + ... + 17436057909.

It is an arithmetic number, because the mean of its divisors is an integer number (29913719700).

Almost surely, 2^{10792919654400} is an apocalyptic number.

10792919654400 is a gapful number since it is divisible by the number (10) 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 10792919654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20102019638400).

10792919654400 is an abundant number, since it is smaller than the sum of its proper divisors (29411119622400).

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

10792919654400 is a wasteful number, since it uses less digits than its factorization.

10792919654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 10792919654400 in words is "ten trillion, seven hundred ninety-two billion, nine hundred nineteen million, six hundred fifty-four thousand, four hundred".