125623199520 has 576 divisors, whose sum is σ = 550570535424. Its totient is φ = 25352110080.

The previous prime is 125623199519. The next prime is 125623199549. The reversal of 125623199520 is 25991326521.

125623199520 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 2 + 31 + 99 + 520 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2993080 + ... + 3034760.

It is an arithmetic number, because the mean of its divisors is an integer number (955851624).

Almost surely, 2^125623199520 is an apocalyptic number.

125623199520 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 125623199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275285267712).

125623199520 is an abundant number, since it is smaller than the sum of its proper divisors (424947335904).

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

125623199520 is a wasteful number, since it uses less digits than its factorization.

125623199520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41745 (or 41734 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 125623199520 in words is "one hundred twenty-five billion, six hundred twenty-three million, one hundred ninety-nine thousand, five hundred twenty".