10922496206400 has 189 divisors, whose sum is σ = 38822540067363. Its totient is φ = 2912559897600.

The previous prime is 10922496206359. The next prime is 10922496206441. The reversal of 10922496206400 is 460269422901.

The square root of 10922496206400 is 3304920.

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

10922496206400 is a `hidden beast` number, since 10 + 9 + 2 + 2 + 4 + 9 + 620 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10922496206359) and next prime (10922496206441).

It can be written as a sum of positive squares in 4 ways, for example, as 620553213504 + 10301942992896 = 787752^2 + 3209664^2 .

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

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, 396576630 + ... + 396604170.

Almost surely, 2^{10922496206400} is an apocalyptic number.

10922496206400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10922496206400 is the 3304920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10922496206400

10922496206400 is an abundant number, since it is smaller than the sum of its proper divisors (27900043860963).

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

10922496206400 is an frugal number, since it uses more digits than its factorization.

10922496206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55110 (or 27551 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

It can be divided in two parts, 10922496 and 206400, that added together give a square (11128896 = 3336²).

The spelling of 10922496206400 in words is "ten trillion, nine hundred twenty-two billion, four hundred ninety-six million, two hundred six thousand, four hundred".