10056636288400 has 135 divisors (see below), whose sum is σ = 26164722508041. Its totient is φ = 3712915115520.

The previous prime is 10056636288397. The next prime is 10056636288451. The reversal of 10056636288400 is 488263665001.

It is a happy number.

The square root of 10056636288400 is 3171220.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8000004951184 + 2056631337216 = 2828428^2 + 1434096^2 .

It is a super-2 number, since 2×10056636288400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 824511102 + ... + 824523298.

Almost surely, 2^{10056636288400} is an apocalyptic number.

10056636288400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10056636288400 is the 3171220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056636288400

10056636288400 is an abundant number, since it is smaller than the sum of its proper divisors (16108086219641).

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

10056636288400 is an frugal number, since it uses more digits than its factorization.

10056636288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24438 (or 12217 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 10056636288400 by its sum of digits (49), we get a square (492775178131600 = 22198540²).

The spelling of 10056636288400 in words is "ten trillion, fifty-six billion, six hundred thirty-six million, two hundred eighty-eight thousand, four hundred".