48437685720 has 384 divisors, whose sum is σ = 172563955200. Its totient is φ = 12185800704.

The previous prime is 48437685683. The next prime is 48437685731. The reversal of 48437685720 is 2758673484.

48437685720 is a `hidden beast` number, since 4 + 8 + 4 + 3 + 7 + 68 + 572 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 65191669 + ... + 65192411.

It is an arithmetic number, because the mean of its divisors is an integer number (449385300).

Almost surely, 2^48437685720 is an apocalyptic number.

48437685720 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 48437685720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86281977600).

48437685720 is an abundant number, since it is smaller than the sum of its proper divisors (124126269480).

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

48437685720 is a wasteful number, since it uses less digits than its factorization.

48437685720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 48437685720 in words is "forty-eight billion, four hundred thirty-seven million, six hundred eighty-five thousand, seven hundred twenty".