125553808800 has 432 divisors, whose sum is σ = 532616535360. Its totient is φ = 27187384320.

The previous prime is 125553808777. The next prime is 125553808823. The reversal of 125553808800 is 8808355521.

125553808800 is a `hidden beast` number, since 12 + 5 + 553 + 8 + 0 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125553808777) and next prime (125553808823).

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 71 ways as a sum of consecutive naturals, for example, 892044 + ... + 1023156.

Almost surely, 2^125553808800 is an apocalyptic number.

125553808800 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 125553808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266308267680).

125553808800 is an abundant number, since it is smaller than the sum of its proper divisors (407062726560).

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

125553808800 is a wasteful number, since it uses less digits than its factorization.

125553808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131165 (or 131149 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 125553808800 in words is "one hundred twenty-five billion, five hundred fifty-three million, eight hundred eight thousand, eight hundred".