48719110880160 has 384 divisors, whose sum is σ = 197224362639360. Its totient is φ = 11001629979648.

The previous prime is 48719110880159. The next prime is 48719110880179. The reversal of 48719110880160 is 6108801191784.

48719110880160 is a `hidden beast` number, since 487 + 1 + 91 + 10 + 8 + 8 + 0 + 1 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 48719110880097 and 48719110880106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7195392 + ... + 12215231.

It is an arithmetic number, because the mean of its divisors is an integer number (513605111040).

Almost surely, 2^{48719110880160} is an apocalyptic number.

48719110880160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48719110880160 is an abundant number, since it is smaller than the sum of its proper divisors (148505251759200).

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

48719110880160 is a wasteful number, since it uses less digits than its factorization.

48719110880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19410737 (or 19410723 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 48719110880160 in words is "forty-eight trillion, seven hundred nineteen billion, one hundred ten million, eight hundred eighty thousand, one hundred sixty".