49591828800 has 1176 divisors, whose sum is σ = 201696824952. Its totient is φ = 11943936000.

The previous prime is 49591828753. The next prime is 49591828813. The reversal of 49591828800 is 882819594.

49591828800 is a `hidden beast` number, since 49 + 591 + 8 + 2 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 33788321856 + 15803506944 = 183816^2 + 125712^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 812980770 + ... + 812980830.

Almost surely, 2^49591828800 is an apocalyptic number.

49591828800 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 49591828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100848412476).

49591828800 is an abundant number, since it is smaller than the sum of its proper divisors (152104996152).

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

49591828800 is a wasteful number, since it uses less digits than its factorization.

49591828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 49591828800 in words is "forty-nine billion, five hundred ninety-one million, eight hundred twenty-eight thousand, eight hundred".