48059660880 has 960 divisors, whose sum is σ = 210728179200. Its totient is φ = 9853747200.

The previous prime is 48059660867. The next prime is 48059660881. The reversal of 48059660880 is 8806695084.

It is a happy number.

48059660880 is a `hidden beast` number, since 48 + 0 + 596 + 6 + 0 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×48059660880³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48059660881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 199417560 + ... + 199417800.

It is an arithmetic number, because the mean of its divisors is an integer number (219508520).

Almost surely, 2^48059660880 is an apocalyptic number.

48059660880 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 48059660880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105364089600).

48059660880 is an abundant number, since it is smaller than the sum of its proper divisors (162668518320).

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

48059660880 is a wasteful number, since it uses less digits than its factorization.

48059660880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 48059660880 in words is "forty-eight billion, fifty-nine million, six hundred sixty thousand, eight hundred eighty".