125552016000 has 384 divisors, whose sum is σ = 452096199360. Its totient is φ = 33390950400.

The previous prime is 125552015999. The next prime is 125552016067. The reversal of 125552016000 is 610255521.

125552016000 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 52 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67247067 + ... + 67248933.

Almost surely, 2^125552016000 is an apocalyptic number.

125552016000 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 125552016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226048099680).

125552016000 is an abundant number, since it is smaller than the sum of its proper divisors (326544183360).

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

125552016000 is a wasteful number, since it uses less digits than its factorization.

125552016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 125552016000 in words is "one hundred twenty-five billion, five hundred fifty-two million, sixteen thousand".