48631826880 has 672 divisors, whose sum is σ = 208105881984. Its totient is φ = 10149691392.

The previous prime is 48631826861. The next prime is 48631826891. The reversal of 48631826880 is 8862813684.

48631826880 is a `hidden beast` number, since 486 + 3 + 1 + 82 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25420804 + ... + 25422716.

It is an arithmetic number, because the mean of its divisors is an integer number (309681372).

Almost surely, 2^48631826880 is an apocalyptic number.

48631826880 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 48631826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104052940992).

48631826880 is an abundant number, since it is smaller than the sum of its proper divisors (159474055104).

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

48631826880 is a wasteful number, since it uses less digits than its factorization.

48631826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 48631826880 in words is "forty-eight billion, six hundred thirty-one million, eight hundred twenty-six thousand, eight hundred eighty".