49357507584 has 704 divisors, whose sum is σ = 173861240832. Its totient is φ = 12076646400.

The previous prime is 49357507571. The next prime is 49357507627. The reversal of 49357507584 is 48570575394.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388641729 + ... + 388641855.

Almost surely, 2^49357507584 is an apocalyptic number.

49357507584 is a gapful number since it is divisible by the number (44) 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 49357507584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86930620416).

49357507584 is an abundant number, since it is smaller than the sum of its proper divisors (124503733248).

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

49357507584 is a wasteful number, since it uses less digits than its factorization.

49357507584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 49357507584 in words is "forty-nine billion, three hundred fifty-seven million, five hundred seven thousand, five hundred eighty-four".