49952513664 has 96 divisors (see below), whose sum is σ = 143800456800. Its totient is φ = 16644248064.

The previous prime is 49952513641. The next prime is 49952513693. The reversal of 49952513664 is 46631525994.

49952513664 is a `hidden beast` number, since 49 + 9 + 525 + 13 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 49952513664.

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 11 ways as a sum of consecutive naturals, for example, 3539967 + ... + 3554049.

It is an arithmetic number, because the mean of its divisors is an integer number (1497921425).

Almost surely, 2^49952513664 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 49952513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71900228400).

49952513664 is an abundant number, since it is smaller than the sum of its proper divisors (93847943136).

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

49952513664 is a wasteful number, since it uses less digits than its factorization.

49952513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17182 (or 17167 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 49952513664 in words is "forty-nine billion, nine hundred fifty-two million, five hundred thirteen thousand, six hundred sixty-four".