10812390768400 has 135 divisors (see below), whose sum is σ = 28130914813791. Its totient is φ = 3991951691520.

The previous prime is 10812390768397. The next prime is 10812390768461. The reversal of 10812390768400 is 486709321801.

The square root of 10812390768400 is 3288220.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2786909715216 + 8025481053184 = 1669404^2 + 2832928^2 .

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, 854930877 + ... + 854943523.

Almost surely, 2^{10812390768400} is an apocalyptic number.

10812390768400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10812390768400 is the 3288220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10812390768400

10812390768400 is an abundant number, since it is smaller than the sum of its proper divisors (17318524045391).

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

10812390768400 is an frugal number, since it uses more digits than its factorization.

10812390768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25338 (or 12667 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 10812390768400 by its sum of digits (49), we get a square (529807147651600 = 23017540²).

The spelling of 10812390768400 in words is "ten trillion, eight hundred twelve billion, three hundred ninety million, seven hundred sixty-eight thousand, four hundred".