48180766920 has 256 divisors, whose sum is σ = 179801959680. Its totient is φ = 10147430400.

The previous prime is 48180766891. The next prime is 48180766957. The reversal of 48180766920 is 2966708184.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209140 + ... + 374300.

It is an arithmetic number, because the mean of its divisors is an integer number (702351405).

Almost surely, 2^48180766920 is an apocalyptic number.

48180766920 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 48180766920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89900979840).

48180766920 is an abundant number, since it is smaller than the sum of its proper divisors (131621192760).

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

48180766920 is a wasteful number, since it uses less digits than its factorization.

48180766920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165216 (or 165212 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 48180766920 in words is "forty-eight billion, one hundred eighty million, seven hundred sixty-six thousand, nine hundred twenty".