10912980110400 has 189 divisors, whose sum is σ = 38788717001151. Its totient is φ = 2910022318080.

The previous prime is 10912980110371. The next prime is 10912980110401. The reversal of 10912980110400 is 401108921901.

The square root of 10912980110400 is 3303480.

It is a perfect power (a square), and thus also a powerful number.

10912980110400 is a `hidden beast` number, since 10 + 9 + 129 + 8 + 0 + 110 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 919895828544 + 9993084281856 = 959112^2 + 3161184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10912980110401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 396403836 + ... + 396431364.

Almost surely, 2^{10912980110400} is an apocalyptic number.

10912980110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10912980110400 is the 3303480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10912980110400

10912980110400 is an abundant number, since it is smaller than the sum of its proper divisors (27875736890751).

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

10912980110400 is an frugal number, since it uses more digits than its factorization.

10912980110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55086 (or 27539 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

Multiplying 10912980110400 by its sum of digits (36), we get a square (392867283974400 = 19820880²).

10912980110400 divided by its sum of digits (36) gives a square (303138336400 = 550580²).

The spelling of 10912980110400 in words is "ten trillion, nine hundred twelve billion, nine hundred eighty million, one hundred ten thousand, four hundred".