20125537456320 has 224 divisors, whose sum is σ = 71004418214400. Its totient is φ = 5366356872192.

The previous prime is 20125537456259. The next prime is 20125537456331. The reversal of 20125537456320 is 2365473552102.

20125537456320 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 5 + 5 + 3 + 7 + 4 + 5 + 632 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109281757 + ... + 109465763.

Almost surely, 2^{20125537456320} is an apocalyptic number.

20125537456320 is a gapful number since it is divisible by the number (20) 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 20125537456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35502209107200).

20125537456320 is an abundant number, since it is smaller than the sum of its proper divisors (50878880758080).

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

20125537456320 is a wasteful number, since it uses less digits than its factorization.

20125537456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196692 (or 196676 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 20125537456320 in words is "twenty trillion, one hundred twenty-five billion, five hundred thirty-seven million, four hundred fifty-six thousand, three hundred twenty".