49949580800 has 480 divisors, whose sum is σ = 149380915200. Its totient is φ = 16527974400.

The previous prime is 49949580799. The next prime is 49949580823. The reversal of 49949580800 is 808594994.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136102217 + ... + 136102583.

It is an arithmetic number, because the mean of its divisors is an integer number (311210240).

Almost surely, 2^49949580800 is an apocalyptic number.

49949580800 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 49949580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74690457600).

49949580800 is an abundant number, since it is smaller than the sum of its proper divisors (99431334400).

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

49949580800 is an equidigital number, since it uses as much as digits as its factorization.

49949580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 56.

The spelling of 49949580800 in words is "forty-nine billion, nine hundred forty-nine million, five hundred eighty thousand, eight hundred".