48100182485760 has 216 divisors, whose sum is σ = 168528226950720. Its totient is φ = 12664351604736.

The previous prime is 48100182485749. The next prime is 48100182485809. The reversal of 48100182485760 is 6758428100184.

48100182485760 is a `hidden beast` number, since 4 + 8 + 10 + 0 + 1 + 82 + 485 + 76 + 0 = 666.

It is a super-3 number, since 3×48100182485760³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48100182485697 and 48100182485706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25516269 + ... + 27336428.

It is an arithmetic number, because the mean of its divisors is an integer number (780223272920).

Almost surely, 2^{48100182485760} is an apocalyptic number.

48100182485760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48100182485760 is an abundant number, since it is smaller than the sum of its proper divisors (120428044464960).

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

48100182485760 is a wasteful number, since it uses less digits than its factorization.

48100182485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52852803 (or 52852786 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 48100182485760 in words is "forty-eight trillion, one hundred billion, one hundred eighty-two million, four hundred eighty-five thousand, seven hundred sixty".