49972802880 has 2688 divisors, whose sum is σ = 252181278720. Its totient is φ = 8174960640.

The previous prime is 49972802849. The next prime is 49972802923. The reversal of 49972802880 is 8820827994.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 49972802880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2172730549 + ... + 2172730571.

It is an arithmetic number, because the mean of its divisors is an integer number (93817440).

Almost surely, 2^49972802880 is an apocalyptic number.

49972802880 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 49972802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126090639360).

49972802880 is an abundant number, since it is smaller than the sum of its proper divisors (202208475840).

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

49972802880 is a wasteful number, since it uses less digits than its factorization.

49972802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 49972802880 in words is "forty-nine billion, nine hundred seventy-two million, eight hundred two thousand, eight hundred eighty".