49581960120 has 384 divisors, whose sum is σ = 205580643840. Its totient is φ = 10062904320.

The previous prime is 49581960097. The next prime is 49581960137. The reversal of 49581960120 is 2106918594.

49581960120 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 19 + 601 + 20 = 666.

49581960120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171162 + ... + 1212758.

It is an arithmetic number, because the mean of its divisors is an integer number (535366260).

Almost surely, 2^49581960120 is an apocalyptic number.

49581960120 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 49581960120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102790321920).

49581960120 is an abundant number, since it is smaller than the sum of its proper divisors (155998683720).

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

49581960120 is a wasteful number, since it uses less digits than its factorization.

49581960120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41675 (or 41668 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 49581960120 in words is "forty-nine billion, five hundred eighty-one million, nine hundred sixty thousand, one hundred twenty".