48896040960 has 896 divisors, whose sum is σ = 198168768000. Its totient is φ = 11338776576.

The previous prime is 48896040953. The next prime is 48896040971. The reversal of 48896040960 is 6904069884.

48896040960 is a `hidden beast` number, since 48 + 89 + 60 + 409 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48896040897 and 48896040906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273162151 + ... + 273162329.

It is an arithmetic number, because the mean of its divisors is an integer number (221170500).

Almost surely, 2^48896040960 is an apocalyptic number.

48896040960 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 48896040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99084384000).

48896040960 is an abundant number, since it is smaller than the sum of its proper divisors (149272727040).

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

48896040960 is a wasteful number, since it uses less digits than its factorization.

48896040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48896040960 in words is "forty-eight billion, eight hundred ninety-six million, forty thousand, nine hundred sixty".