48878062796160 has 1024 divisors, whose sum is σ = 197575070918400. Its totient is φ = 11313296179200.

The previous prime is 48878062796141. The next prime is 48878062796191. The reversal of 48878062796160 is 6169726087884.

48878062796160 is a `hidden beast` number, since 48 + 87 + 80 + 6 + 279 + 6 + 160 = 666.

48878062796160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4586469552 + ... + 4586480208.

Almost surely, 2^{48878062796160} is an apocalyptic number.

48878062796160 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 48878062796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98787535459200).

48878062796160 is an abundant number, since it is smaller than the sum of its proper divisors (148697008122240).

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

48878062796160 is a wasteful number, since it uses less digits than its factorization.

48878062796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 48878062796160 in words is "forty-eight trillion, eight hundred seventy-eight billion, sixty-two million, seven hundred ninety-six thousand, one hundred sixty".