48810112560 has 720 divisors, whose sum is σ = 189819306144. Its totient is φ = 11234995200.

The previous prime is 48810112553. The next prime is 48810112573. The reversal of 48810112560 is 6521101884.

48810112560 is a `hidden beast` number, since 4 + 8 + 81 + 0 + 1 + 12 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 920945494 + ... + 920945546.

Almost surely, 2^48810112560 is an apocalyptic number.

48810112560 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 48810112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94909653072).

48810112560 is an abundant number, since it is smaller than the sum of its proper divisors (141009193584).

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

48810112560 is a wasteful number, since it uses less digits than its factorization.

48810112560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 48810112560 in words is "forty-eight billion, eight hundred ten million, one hundred twelve thousand, five hundred sixty".