10793137766400 has 2688 divisors, whose sum is σ = 46044752590080. Its totient is φ = 2484338688000.

The previous prime is 10793137766381. The next prime is 10793137766413. The reversal of 10793137766400 is 466773139701.

10793137766400 is a `hidden beast` number, since 10 + 7 + 93 + 13 + 77 + 66 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 203644108774 + ... + 203644108826.

Almost surely, 2^{10793137766400} is an apocalyptic number.

10793137766400 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 10793137766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23022376295040).

10793137766400 is an abundant number, since it is smaller than the sum of its proper divisors (35251614823680).

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

10793137766400 is an frugal number, since it uses more digits than its factorization.

10793137766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 10793137766400 in words is "ten trillion, seven hundred ninety-three billion, one hundred thirty-seven million, seven hundred sixty-six thousand, four hundred".