10726927900920 has 1536 divisors, whose sum is σ = 47655309312000. Its totient is φ = 2084466908160.

The previous prime is 10726927900903. The next prime is 10726927900981. The reversal of 10726927900920 is 2900972962701.

10726927900920 is a `hidden beast` number, since 107 + 269 + 279 + 0 + 0 + 9 + 2 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 2371637779 + ... + 2371642301.

It is an arithmetic number, because the mean of its divisors is an integer number (31025592000).

Almost surely, 2^{10726927900920} is an apocalyptic number.

10726927900920 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 10726927900920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23827654656000).

10726927900920 is an abundant number, since it is smaller than the sum of its proper divisors (36928381411080).

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

10726927900920 is a wasteful number, since it uses less digits than its factorization.

10726927900920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 10726927900920 in words is "ten trillion, seven hundred twenty-six billion, nine hundred twenty-seven million, nine hundred thousand, nine hundred twenty".