48976917760 has 144 divisors (see below), whose sum is σ = 123054817536. Its totient is φ = 18654879744.

The previous prime is 48976917739. The next prime is 48976917767. The reversal of 48976917760 is 6771967984.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 48976917692 and 48976917701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48976917767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2214919 + ... + 2236921.

It is an arithmetic number, because the mean of its divisors is an integer number (854547344).

Almost surely, 2^48976917760 is an apocalyptic number.

48976917760 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 48976917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61527408768).

48976917760 is an abundant number, since it is smaller than the sum of its proper divisors (74077899776).

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

48976917760 is a wasteful number, since it uses less digits than its factorization.

48976917760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22108 (or 22094 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 64.

The spelling of 48976917760 in words is "forty-eight billion, nine hundred seventy-six million, nine hundred seventeen thousand, seven hundred sixty".