48755520000 has 1400 divisors, whose sum is σ = 209583974160. Its totient is φ = 11197440000.

The previous prime is 48755519977. The next prime is 48755520017. The reversal of 48755520000 is 2555784.

It is a happy number.

48755520000 is a `hidden beast` number, since 4 + 87 + 55 + 520 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 2566079991 + ... + 2566080009.

Almost surely, 2^48755520000 is an apocalyptic number.

48755520000 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 48755520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104791987080).

48755520000 is an abundant number, since it is smaller than the sum of its proper divisors (160828454160).

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

48755520000 is an frugal number, since it uses more digits than its factorization.

48755520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 48755520000 in words is "forty-eight billion, seven hundred fifty-five million, five hundred twenty thousand".