48580620879600 has 300 divisors, whose sum is σ = 174406521146704. Its totient is φ = 12950777456640.

The previous prime is 48580620879551. The next prime is 48580620879617. The reversal of 48580620879600 is 697802608584.

48580620879600 is a `hidden beast` number, since 48 + 580 + 6 + 2 + 0 + 8 + 7 + 9 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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, 103997757 + ... + 104463843.

Almost surely, 2^{48580620879600} is an apocalyptic number.

48580620879600 is a gapful number since it is divisible by the number (40) 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 48580620879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87203260573352).

48580620879600 is an abundant number, since it is smaller than the sum of its proper divisors (125825900267104).

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

48580620879600 is a wasteful number, since it uses less digits than its factorization.

48580620879600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469334 (or 469314 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 48580620879600 in words is "forty-eight trillion, five hundred eighty billion, six hundred twenty million, eight hundred seventy-nine thousand, six hundred".