49635914880 has 256 divisors, whose sum is σ = 161029440000. Its totient is φ = 13002522624.

The previous prime is 49635914879. The next prime is 49635914891. The reversal of 49635914880 is 8841953694.

It is a self number, because there is not a number n which added to its sum of digits gives 49635914880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34734006 + ... + 34735434.

It is an arithmetic number, because the mean of its divisors is an integer number (629021250).

Almost surely, 2^49635914880 is an apocalyptic number.

49635914880 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 49635914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80514720000).

49635914880 is an abundant number, since it is smaller than the sum of its proper divisors (111393525120).

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

49635914880 is a wasteful number, since it uses less digits than its factorization.

49635914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 49635914880 in words is "forty-nine billion, six hundred thirty-five million, nine hundred fourteen thousand, eight hundred eighty".