49856433120 has 960 divisors, whose sum is σ = 203779255680. Its totient is φ = 11438309376.

The previous prime is 49856433097. The next prime is 49856433139. The reversal of 49856433120 is 2133465894.

49856433120 is a `hidden beast` number, since 4 + 98 + 5 + 6 + 433 + 120 = 666.

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 159 ways as a sum of consecutive naturals, for example, 484042989 + ... + 484043091.

It is an arithmetic number, because the mean of its divisors is an integer number (212270058).

Almost surely, 2^49856433120 is an apocalyptic number.

49856433120 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 49856433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101889627840).

49856433120 is an abundant number, since it is smaller than the sum of its proper divisors (153922822560).

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

49856433120 is a wasteful number, since it uses less digits than its factorization.

49856433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 49856433120 in words is "forty-nine billion, eight hundred fifty-six million, four hundred thirty-three thousand, one hundred twenty".