49980508800 has 384 divisors, whose sum is σ = 176002485120. Its totient is φ = 12435456000.

The previous prime is 49980508763. The next prime is 49980508801. The reversal of 49980508800 is 880508994.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (49980508801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9050040 + ... + 9055560.

It is an arithmetic number, because the mean of its divisors is an integer number (458339805).

Almost surely, 2^49980508800 is an apocalyptic number.

49980508800 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 49980508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88001242560).

49980508800 is an abundant number, since it is smaller than the sum of its proper divisors (126021976320).

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

49980508800 is a wasteful number, since it uses less digits than its factorization.

49980508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 49980508800 in words is "forty-nine billion, nine hundred eighty million, five hundred eight thousand, eight hundred".