125048448000 has 880 divisors, whose sum is σ = 532911460224. Its totient is φ = 28565913600.

The previous prime is 125048447999. The next prime is 125048448053. The reversal of 125048448000 is 844840521.

It is a super-2 number, since 2×125048448000² (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 79 ways as a sum of consecutive naturals, for example, 72575139 + ... + 72576861.

Almost surely, 2^125048448000 is an apocalyptic number.

125048448000 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 125048448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266455730112).

125048448000 is an abundant number, since it is smaller than the sum of its proper divisors (407863012224).

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

125048448000 is an equidigital number, since it uses as much as digits as its factorization.

125048448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 125048448000 in words is "one hundred twenty-five billion, forty-eight million, four hundred forty-eight thousand".