48002517264 has 480 divisors, whose sum is σ = 149366939904. Its totient is φ = 13170769920.

The previous prime is 48002517221. The next prime is 48002517317. The reversal of 48002517264 is 46271520084.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 494871264 + ... + 494871360.

Almost surely, 2^48002517264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48002517264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74683469952).

48002517264 is an abundant number, since it is smaller than the sum of its proper divisors (101364422640).

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

48002517264 is a wasteful number, since it uses less digits than its factorization.

48002517264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 48002517264 in words is "forty-eight billion, two million, five hundred seventeen thousand, two hundred sixty-four".