10913976806400 has 1188 divisors, whose sum is σ = 40915951680240. Its totient is φ = 2886252134400.

The previous prime is 10913976806387. The next prime is 10913976806443. The reversal of 10913976806400 is 460867931901.

10913976806400 is a `hidden beast` number, since 1 + 0 + 91 + 3 + 9 + 76 + 80 + 6 + 400 = 666.

10913976806400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10913976806400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 30401049421 + ... + 30401049779.

Almost surely, 2^{10913976806400} is an apocalyptic number.

10913976806400 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 10913976806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20457975840120).

10913976806400 is an abundant number, since it is smaller than the sum of its proper divisors (30001974873840).

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

10913976806400 is an frugal number, since it uses more digits than its factorization.

10913976806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10913976806400 in words is "ten trillion, nine hundred thirteen billion, nine hundred seventy-six million, eight hundred six thousand, four hundred".