48713367859200 has 1872 divisors, whose sum is σ = 203795418258432. Its totient is φ = 11426365440000.

The previous prime is 48713367859141. The next prime is 48713367859223. The reversal of 48713367859200 is 295876331784.

48713367859200 is a `hidden beast` number, since 4 + 8 + 7 + 1 + 3 + 36 + 7 + 8 + 592 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8485168330 + ... + 8485174070.

It is an arithmetic number, because the mean of its divisors is an integer number (108865073856).

It is a 2-persistent number, because it is pandigital, and so is 2⋅48713367859200 = 97426735718400, but 3⋅48713367859200 = 146140103577600 is not.

Almost surely, 2^{48713367859200} is an apocalyptic number.

48713367859200 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 48713367859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101897709129216).

48713367859200 is an abundant number, since it is smaller than the sum of its proper divisors (155082050399232).

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

48713367859200 is a wasteful number, since it uses less digits than its factorization.

48713367859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 48713367859200 in words is "forty-eight trillion, seven hundred thirteen billion, three hundred sixty-seven million, eight hundred fifty-nine thousand, two hundred".