48376517760 has 384 divisors, whose sum is σ = 174226852800. Its totient is φ = 12826791936.

The previous prime is 48376517743. The next prime is 48376517767. The reversal of 48376517760 is 6771567384.

48376517760 is a `hidden beast` number, since 48 + 376 + 5 + 177 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 48376517697 and 48376517706.

It is not an unprimeable number, because it can be changed into a prime (48376517767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30636651 + ... + 30638229.

Almost surely, 2^48376517760 is an apocalyptic number.

48376517760 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 48376517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87113426400).

48376517760 is an abundant number, since it is smaller than the sum of its proper divisors (125850335040).

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

48376517760 is a wasteful number, since it uses less digits than its factorization.

48376517760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 48376517760 in words is "forty-eight billion, three hundred seventy-six million, five hundred seventeen thousand, seven hundred sixty".