48706592760 has 320 divisors, whose sum is σ = 187351211520. Its totient is φ = 11117710080.

The previous prime is 48706592731. The next prime is 48706592773. The reversal of 48706592760 is 6729560784.

48706592760 is a `hidden beast` number, since 48 + 7 + 0 + 6 + 592 + 7 + 6 + 0 = 666.

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 = 48706592697 and 48706592706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31002775 + ... + 31004345.

It is an arithmetic number, because the mean of its divisors is an integer number (585472536).

Almost surely, 2^48706592760 is an apocalyptic number.

48706592760 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 48706592760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93675605760).

48706592760 is an abundant number, since it is smaller than the sum of its proper divisors (138644618760).

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

48706592760 is a wasteful number, since it uses less digits than its factorization.

48706592760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 48706592760 in words is "forty-eight billion, seven hundred six million, five hundred ninety-two thousand, seven hundred sixty".