125566610400 has 1152 divisors, whose sum is σ = 599631621120. Its totient is φ = 24551424000.

The previous prime is 125566610387. The next prime is 125566610413. The reversal of 125566610400 is 4016665521.

It is an interprime number because it is at equal distance from previous prime (125566610387) and next prime (125566610413).

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

It is a congruent number.

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, 28272180 + ... + 28276620.

It is an arithmetic number, because the mean of its divisors is an integer number (520513560).

Almost surely, 2^125566610400 is an apocalyptic number.

125566610400 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 125566610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299815810560).

125566610400 is an abundant number, since it is smaller than the sum of its proper divisors (474065010720).

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

125566610400 is a wasteful number, since it uses less digits than its factorization.

125566610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 125566610400 in words is "one hundred twenty-five billion, five hundred sixty-six million, six hundred ten thousand, four hundred".