10930826192400 has 135 divisors (see below), whose sum is σ = 37933691642509. Its totient is φ = 2914834085760.

The previous prime is 10930826192389. The next prime is 10930826192483. The reversal of 10930826192400 is 429162803901.

The square root of 10930826192400 is 3306180.

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

10930826192400 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 0 + 8 + 2 + 619 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3935097429264 + 6995728763136 = 1983708^2 + 2644944^2 .

It is a super-2 number, since 2×10930826192400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 198343249 + ... + 198398351.

Almost surely, 2^{10930826192400} is an apocalyptic number.

10930826192400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10930826192400 is the 3306180-th square number.

It is an amenable number.

10930826192400 is an abundant number, since it is smaller than the sum of its proper divisors (27002865450109).

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

10930826192400 is an frugal number, since it uses more digits than its factorization.

10930826192400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110230 (or 55113 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10930826192400 in words is "ten trillion, nine hundred thirty billion, eight hundred twenty-six million, one hundred ninety-two thousand, four hundred".