49120275864 has 512 divisors, whose sum is σ = 156204288000. Its totient is φ = 12678758400.

The previous prime is 49120275857. The next prime is 49120275889. The reversal of 49120275864 is 46857202194.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182603122 + ... + 182603390.

It is an arithmetic number, because the mean of its divisors is an integer number (305086500).

Almost surely, 2^49120275864 is an apocalyptic number.

49120275864 is a gapful number since it is divisible by the number (44) 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 49120275864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78102144000).

49120275864 is an abundant number, since it is smaller than the sum of its proper divisors (107084012136).

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

49120275864 is a wasteful number, since it uses less digits than its factorization.

49120275864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 49120275864 in words is "forty-nine billion, one hundred twenty million, two hundred seventy-five thousand, eight hundred sixty-four".