125621569440000 has 720 divisors, whose sum is σ = 465065148264640. Its totient is φ = 33437214720000.

The previous prime is 125621569439983. The next prime is 125621569440007. The reversal of 125621569440000 is 44965126521.

125621569440000 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 2 + 156 + 94 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (125621569440007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2363013420 + ... + 2363066580.

Almost surely, 2^{125621569440000} is an apocalyptic number.

125621569440000 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 125621569440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232532574132320).

125621569440000 is an abundant number, since it is smaller than the sum of its proper divisors (339443578824640).

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

125621569440000 is an frugal number, since it uses more digits than its factorization.

125621569440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53753 (or 53718 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 125621569440000 in words is "one hundred twenty-five trillion, six hundred twenty-one billion, five hundred sixty-nine million, four hundred forty thousand".