48502959897600 has 792 divisors, whose sum is σ = 193055623010432. Its totient is φ = 11554032844800.

The previous prime is 48502959897593. The next prime is 48502959897659. The reversal of 48502959897600 is 679895920584.

48502959897600 is a `hidden beast` number, since 4 + 8 + 5 + 0 + 2 + 9 + 5 + 9 + 8 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92590014 + ... + 93112386.

Almost surely, 2^{48502959897600} is an apocalyptic number.

48502959897600 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 48502959897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96527811505216).

48502959897600 is an abundant number, since it is smaller than the sum of its proper divisors (144552663112832).

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

48502959897600 is a wasteful number, since it uses less digits than its factorization.

48502959897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522453 (or 522427 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 48502959897600 in words is "forty-eight trillion, five hundred two billion, nine hundred fifty-nine million, eight hundred ninety-seven thousand, six hundred".