49587199632 has 120 divisors (see below), whose sum is σ = 149347818360. Its totient is φ = 15301693440.

The previous prime is 49587199621. The next prime is 49587199637. The reversal of 49587199632 is 23699178594.

49587199632 is a `hidden beast` number, since 4 + 9 + 587 + 19 + 9 + 6 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14219131536 + 35368068096 = 119244^2 + 188064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49587199632.

It is not an unprimeable number, because it can be changed into a prime (49587199637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16707 + ... + 315362.

It is an arithmetic number, because the mean of its divisors is an integer number (1244565153).

Almost surely, 2^49587199632 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 49587199632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74673909180).

49587199632 is an abundant number, since it is smaller than the sum of its proper divisors (99760618728).

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

49587199632 is a wasteful number, since it uses less digits than its factorization.

49587199632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332161 (or 332152 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 49587199632 in words is "forty-nine billion, five hundred eighty-seven million, one hundred ninety-nine thousand, six hundred thirty-two".