125552044800 has 1296 divisors, whose sum is σ = 585376908480. Its totient is φ = 24914165760.

The previous prime is 125552044763. The next prime is 125552044843. The reversal of 125552044800 is 8440255521.

125552044800 is a `hidden beast` number, since 1 + 2 + 55 + 520 + 4 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×125552044800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89106496 + ... + 89107904.

Almost surely, 2^125552044800 is an apocalyptic number.

125552044800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125552044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292688454240).

125552044800 is an abundant number, since it is smaller than the sum of its proper divisors (459824863680).

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

125552044800 is a wasteful number, since it uses less digits than its factorization.

125552044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 125552044800 in words is "one hundred twenty-five billion, five hundred fifty-two million, forty-four thousand, eight hundred".