49537616000 has 128 divisors (see below), whose sum is σ = 125488874160. Its totient is φ = 19440844800.

The previous prime is 49537615997. The next prime is 49537616033. The reversal of 49537616000 is 61673594.

It can be written as a sum of positive squares in 8 ways, for example, as 12983235136 + 36554380864 = 113944^2 + 191192^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818792 + ... + 877208.

Almost surely, 2^49537616000 is an apocalyptic number.

49537616000 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 49537616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62744437080).

49537616000 is an abundant number, since it is smaller than the sum of its proper divisors (75951258160).

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

49537616000 is an equidigital number, since it uses as much as digits as its factorization.

49537616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58499 (or 58477 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 49537616000 in words is "forty-nine billion, five hundred thirty-seven million, six hundred sixteen thousand".