48360896640 has 512 divisors, whose sum is σ = 204268953600. Its totient is φ = 10572705792.

The previous prime is 48360896627. The next prime is 48360896651. The reversal of 48360896640 is 4669806384.

48360896640 is a `hidden beast` number, since 483 + 60 + 8 + 9 + 66 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2773389 + ... + 2790771.

It is an arithmetic number, because the mean of its divisors is an integer number (398962800).

Almost surely, 2^48360896640 is an apocalyptic number.

48360896640 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 48360896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102134476800).

48360896640 is an abundant number, since it is smaller than the sum of its proper divisors (155908056960).

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

48360896640 is a wasteful number, since it uses less digits than its factorization.

48360896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17441 (or 17423 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 48360896640 in words is "forty-eight billion, three hundred sixty million, eight hundred ninety-six thousand, six hundred forty".