125091348480 has 384 divisors, whose sum is σ = 495633340800. Its totient is φ = 28589948928.

The previous prime is 125091348479. The next prime is 125091348511. The reversal of 125091348480 is 84843190521.

125091348480 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 91 + 3 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 23 ways as a sum of consecutive naturals, for example, 10315861 + ... + 10327979.

It is an arithmetic number, because the mean of its divisors is an integer number (1290711825).

Almost surely, 2^125091348480 is an apocalyptic number.

125091348480 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 125091348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247816670400).

125091348480 is an abundant number, since it is smaller than the sum of its proper divisors (370541992320).

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

125091348480 is an equidigital number, since it uses as much as digits as its factorization.

125091348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12167 (or 12136 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 125091348480 in words is "one hundred twenty-five billion, ninety-one million, three hundred forty-eight thousand, four hundred eighty".