75052885057920 has 1536 divisors, whose sum is σ = 333952440606720. Its totient is φ = 15073689600000.

The previous prime is 75052885057877. The next prime is 75052885057933. The reversal of 75052885057920 is 2975058825057.

75052885057920 is a `hidden beast` number, since 7 + 5 + 0 + 5 + 2 + 8 + 8 + 50 + 579 + 2 + 0 = 666.

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

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, 12937919020 + ... + 12937924820.

It is an arithmetic number, because the mean of its divisors is an integer number (217416953520).

Almost surely, 2^{75052885057920} is an apocalyptic number.

75052885057920 is a gapful number since it is divisible by the number (70) 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 75052885057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166976220303360).

75052885057920 is an abundant number, since it is smaller than the sum of its proper divisors (258899555548800).

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

75052885057920 is a wasteful number, since it uses less digits than its factorization.

75052885057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 63.

The spelling of 75052885057920 in words is "seventy-five trillion, fifty-two billion, eight hundred eighty-five million, fifty-seven thousand, nine hundred twenty".