49590090864 has 280 divisors, whose sum is σ = 147282082272. Its totient is φ = 16164126720.

The previous prime is 49590090853. The next prime is 49590090883. The reversal of 49590090864 is 46809009594.

49590090864 is a `hidden beast` number, since 49 + 590 + 0 + 9 + 0 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×49590090864² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49590090864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 192957424 + ... + 192957680.

Almost surely, 2^49590090864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49590090864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73641041136).

49590090864 is an abundant number, since it is smaller than the sum of its proper divisors (97691991408).

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

49590090864 is a wasteful number, since it uses less digits than its factorization.

49590090864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 49590090864 in words is "forty-nine billion, five hundred ninety million, ninety thousand, eight hundred sixty-four".