10725494000400 has 135 divisors (see below), whose sum is σ = 37221125403189. Its totient is φ = 2860079333760.

The previous prime is 10725494000381. The next prime is 10725494000407. The reversal of 10725494000400 is 400049452701.

It is a happy number.

The square root of 10725494000400 is 3274980.

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

10725494000400 is a `hidden beast` number, since 1 + 0 + 72 + 549 + 4 + 0 + 0 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3861177840144 + 6864316160256 = 1964988^2 + 2619984^2 .

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 (10725494000407) 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, 196471509 + ... + 196526091.

Almost surely, 2^{10725494000400} is an apocalyptic number.

10725494000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10725494000400 is the 3274980-th square number.

It is an amenable number.

10725494000400 is an abundant number, since it is smaller than the sum of its proper divisors (26495631402789).

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

10725494000400 is an frugal number, since it uses more digits than its factorization.

10725494000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109190 (or 54593 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 10725494000400 by its sum of digits (36), we get a square (386117784014400 = 19649880²).

10725494000400 divided by its sum of digits (36) gives a square (297930388900 = 545830²).

The spelling of 10725494000400 in words is "ten trillion, seven hundred twenty-five billion, four hundred ninety-four million, four hundred", and thus it is an aban number.