125572554547200 has 840 divisors, whose sum is σ = 477753908647752. Its totient is φ = 32580827873280.

The previous prime is 125572554547199. The next prime is 125572554547229. The reversal of 125572554547200 is 2745455275521.

125572554547200 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 7 + 25 + 54 + 547 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 613683307 + ... + 613887893.

Almost surely, 2^{125572554547200} is an apocalyptic number.

125572554547200 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 125572554547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238876954323876).

125572554547200 is an abundant number, since it is smaller than the sum of its proper divisors (352181354100552).

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

125572554547200 is an equidigital number, since it uses as much as digits as its factorization.

125572554547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204672 (or 204634 counting only the distinct ones).

The product of its (nonzero) digits is 19600000, while the sum is 54.

The spelling of 125572554547200 in words is "one hundred twenty-five trillion, five hundred seventy-two billion, five hundred fifty-four million, five hundred forty-seven thousand, two hundred".