49991385600 has 600 divisors, whose sum is σ = 199307959620. Its totient is φ = 12302254080.

The previous prime is 49991385593. The next prime is 49991385611. The reversal of 49991385600 is 658319994.

49991385600 is a `hidden beast` number, since 49 + 9 + 9 + 1 + 38 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5121978624 + 44869406976 = 71568^2 + 211824^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13476546 + ... + 13480254.

Almost surely, 2^49991385600 is an apocalyptic number.

49991385600 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 49991385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99653979810).

49991385600 is an abundant number, since it is smaller than the sum of its proper divisors (149316574020).

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

49991385600 is a wasteful number, since it uses less digits than its factorization.

49991385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 49991385600 in words is "forty-nine billion, nine hundred ninety-one million, three hundred eighty-five thousand, six hundred".