48580303892400 has 1440 divisors, whose sum is σ = 205816837990400. Its totient is φ = 10364350464000.

The previous prime is 48580303892383. The next prime is 48580303892413. The reversal of 48580303892400 is 429830308584.

48580303892400 is a `hidden beast` number, since 4 + 8 + 580 + 3 + 0 + 38 + 9 + 24 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22732944132 + ... + 22732946268.

Almost surely, 2^{48580303892400} is an apocalyptic number.

48580303892400 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 48580303892400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102908418995200).

48580303892400 is an abundant number, since it is smaller than the sum of its proper divisors (157236534098000).

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

48580303892400 is a wasteful number, since it uses less digits than its factorization.

48580303892400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 48580303892400 in words is "forty-eight trillion, five hundred eighty billion, three hundred three million, eight hundred ninety-two thousand, four hundred".