49813585920 has 816 divisors, whose sum is σ = 209378058240. Its totient is φ = 10701766656.

The previous prime is 49813585891. The next prime is 49813585933. The reversal of 49813585920 is 2958531894.

49813585920 is a `hidden beast` number, since 49 + 8 + 1 + 3 + 5 + 8 + 592 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392232897 + ... + 392233023.

Almost surely, 2^49813585920 is an apocalyptic number.

49813585920 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 49813585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104689029120).

49813585920 is an abundant number, since it is smaller than the sum of its proper divisors (159564472320).

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

49813585920 is a wasteful number, since it uses less digits than its factorization.

49813585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 49813585920 in words is "forty-nine billion, eight hundred thirteen million, five hundred eighty-five thousand, nine hundred twenty".