20125454565600 has 432 divisors, whose sum is σ = 71123935401792. Its totient is φ = 5354965831680.

The previous prime is 20125454565589. The next prime is 20125454565607. The reversal of 20125454565600 is 656545452102.

20125454565600 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 5 + 45 + 45 + 6 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20125454565607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9755430169 + ... + 9755432231.

It is an arithmetic number, because the mean of its divisors is an integer number (164638739356).

Almost surely, 2^{20125454565600} is an apocalyptic number.

20125454565600 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 20125454565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35561967700896).

20125454565600 is an abundant number, since it is smaller than the sum of its proper divisors (50998480836192).

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

20125454565600 is a wasteful number, since it uses less digits than its factorization.

20125454565600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 20125454565600 in words is "twenty trillion, one hundred twenty-five billion, four hundred fifty-four million, five hundred sixty-five thousand, six hundred".