48052947539520 has 4480 divisors, whose sum is σ = 237449566126080. Its totient is φ = 8922120192000.

The previous prime is 48052947539447. The next prime is 48052947539557. The reversal of 48052947539520 is 2593574925084.

48052947539520 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 2 + 9 + 4 + 75 + 39 + 520 = 666.

It is a super-2 number, since 2×48052947539520² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 48197539662 + ... + 48197540658.

It is an arithmetic number, because the mean of its divisors is an integer number (53002135296).

Almost surely, 2^{48052947539520} is an apocalyptic number.

48052947539520 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 48052947539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118724783063040).

48052947539520 is an abundant number, since it is smaller than the sum of its proper divisors (189396618586560).

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

48052947539520 is a wasteful number, since it uses less digits than its factorization.

48052947539520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 48052947539520 in words is "forty-eight trillion, fifty-two billion, nine hundred forty-seven million, five hundred thirty-nine thousand, five hundred twenty".