48787950157056 has 2304 divisors, whose sum is σ = 175233997209600. Its totient is φ = 13237862400000.

The previous prime is 48787950157007. The next prime is 48787950157099. The reversal of 48787950157056 is 65075105978784.

48787950157056 is a `hidden beast` number, since 48 + 7 + 8 + 7 + 9 + 5 + 0 + 1 + 570 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 255434293921 + ... + 255434294111.

It is an arithmetic number, because the mean of its divisors is an integer number (76056422400).

Almost surely, 2^{48787950157056} 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 48787950157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87616998604800).

48787950157056 is an abundant number, since it is smaller than the sum of its proper divisors (126446047052544).

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

48787950157056 is a wasteful number, since it uses less digits than its factorization.

48787950157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 592704000, while the sum is 72.

The spelling of 48787950157056 in words is "forty-eight trillion, seven hundred eighty-seven billion, nine hundred fifty million, one hundred fifty-seven thousand, fifty-six".