125611948800 has 1512 divisors, whose sum is σ = 533277760400. Its totient is φ = 29023764480.

The previous prime is 125611948739. The next prime is 125611948807. The reversal of 125611948800 is 8849116521.

It is a happy number.

125611948800 is a `hidden beast` number, since 1 + 2 + 56 + 119 + 488 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (125611948807) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1152403146 + ... + 1152403254.

Almost surely, 2^125611948800 is an apocalyptic number.

125611948800 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 125611948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266638880200).

125611948800 is an abundant number, since it is smaller than the sum of its proper divisors (407665811600).

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

125611948800 is a wasteful number, since it uses less digits than its factorization.

125611948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 125611948800 in words is "one hundred twenty-five billion, six hundred eleven million, nine hundred forty-eight thousand, eight hundred".