48955605120 has 256 divisors, whose sum is σ = 175177900800. Its totient is φ = 12919799808.

The previous prime is 48955605103. The next prime is 48955605163. The reversal of 48955605120 is 2150655984.

48955605120 is a `hidden beast` number, since 4 + 89 + 5 + 56 + 0 + 512 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1661557 + ... + 1690763.

It is an arithmetic number, because the mean of its divisors is an integer number (684288675).

Almost surely, 2^48955605120 is an apocalyptic number.

48955605120 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 48955605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87588950400).

48955605120 is an abundant number, since it is smaller than the sum of its proper divisors (126222295680).

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

48955605120 is a wasteful number, since it uses less digits than its factorization.

48955605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29332 (or 29314 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 48955605120 in words is "forty-eight billion, nine hundred fifty-five million, six hundred five thousand, one hundred twenty".