125506886400 has 1728 divisors, whose sum is σ = 570985676800. Its totient is φ = 26336378880.

The previous prime is 125506886377. The next prime is 125506886429. The reversal of 125506886400 is 4688605521.

125506886400 is a `hidden beast` number, since 1 + 2 + 5 + 506 + 88 + 64 + 0 + 0 = 666.

125506886400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×125506886400³ (a number of 34 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 988243137 + ... + 988243263.

Almost surely, 2^125506886400 is an apocalyptic number.

125506886400 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 125506886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285492838400).

125506886400 is an abundant number, since it is smaller than the sum of its proper divisors (445478790400).

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

125506886400 is a wasteful number, since it uses less digits than its factorization.

125506886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 125506886400 in words is "one hundred twenty-five billion, five hundred six million, eight hundred eighty-six thousand, four hundred".