48800532480480 has 1152 divisors, whose sum is σ = 200056176552960. Its totient is φ = 10693140480000.

The previous prime is 48800532480473. The next prime is 48800532480517. The reversal of 48800532480480 is 8408423500884.

48800532480480 is a `hidden beast` number, since 4 + 8 + 80 + 0 + 5 + 3 + 2 + 4 + 80 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2775745290 + ... + 2775762870.

It is an arithmetic number, because the mean of its divisors is an integer number (173659875480).

Almost surely, 2^{48800532480480} is an apocalyptic number.

48800532480480 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 48800532480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100028088276480).

48800532480480 is an abundant number, since it is smaller than the sum of its proper divisors (151255644072480).

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

48800532480480 is a wasteful number, since it uses less digits than its factorization.

48800532480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18056 (or 18045 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 48800532480480 in words is "forty-eight trillion, eight hundred billion, five hundred thirty-two million, four hundred eighty thousand, four hundred eighty".