48924317520 has 960 divisors, whose sum is σ = 202007070720. Its totient is φ = 10888390656.

The previous prime is 48924317513. The next prime is 48924317567. The reversal of 48924317520 is 2571342984.

48924317520 is a `hidden beast` number, since 4 + 8 + 92 + 4 + 31 + 7 + 520 = 666.

48924317520 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110438419 + ... + 110438861.

It is an arithmetic number, because the mean of its divisors is an integer number (210424032).

Almost surely, 2^48924317520 is an apocalyptic number.

48924317520 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 48924317520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101003535360).

48924317520 is an abundant number, since it is smaller than the sum of its proper divisors (153082753200).

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

48924317520 is a wasteful number, since it uses less digits than its factorization.

48924317520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 48924317520 in words is "forty-eight billion, nine hundred twenty-four million, three hundred seventeen thousand, five hundred twenty".