48039488640 has 512 divisors, whose sum is σ = 199894867200. Its totient is φ = 10749542400.

The previous prime is 48039488621. The next prime is 48039488657. The reversal of 48039488640 is 4688493084.

48039488640 is a `hidden beast` number, since 480 + 3 + 9 + 48 + 86 + 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, 2461320 + ... + 2480760.

Almost surely, 2^48039488640 is an apocalyptic number.

48039488640 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 48039488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99947433600).

48039488640 is an abundant number, since it is smaller than the sum of its proper divisors (151855378560).

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

48039488640 is a wasteful number, since it uses less digits than its factorization.

48039488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19493 (or 19475 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 48039488640 in words is "forty-eight billion, thirty-nine million, four hundred eighty-eight thousand, six hundred forty".