48058062552576 has 320 divisors, whose sum is σ = 146329924910400. Its totient is φ = 15563744870400.

The previous prime is 48058062552553. The next prime is 48058062552587. The reversal of 48058062552576 is 67525526085084.

48058062552576 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 8 + 0 + 6 + 2 + 5 + 52 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136419030 + ... + 136770858.

It is an arithmetic number, because the mean of its divisors is an integer number (457281015345).

Almost surely, 2^{48058062552576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48058062552576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73164962455200).

48058062552576 is an abundant number, since it is smaller than the sum of its proper divisors (98271862357824).

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

48058062552576 is a wasteful number, since it uses less digits than its factorization.

48058062552576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352138 (or 352116 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 63.

The spelling of 48058062552576 in words is "forty-eight trillion, fifty-eight billion, sixty-two million, five hundred fifty-two thousand, five hundred seventy-six".