48756833280 has 528 divisors, whose sum is σ = 183059771040. Its totient is φ = 12304908288.

The previous prime is 48756833269. The next prime is 48756833297. The reversal of 48756833280 is 8233865784.

48756833280 is a `hidden beast` number, since 48 + 7 + 568 + 3 + 32 + 8 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 49904152 + ... + 49905128.

Almost surely, 2^48756833280 is an apocalyptic number.

48756833280 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 48756833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91529885520).

48756833280 is an abundant number, since it is smaller than the sum of its proper divisors (134302937760).

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

48756833280 is a wasteful number, since it uses less digits than its factorization.

48756833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 48756833280 in words is "forty-eight billion, seven hundred fifty-six million, eight hundred thirty-three thousand, two hundred eighty".