75538320000 has 1280 divisors, whose sum is σ = 308349296640. Its totient is φ = 16128000000.

The previous prime is 75538319993. The next prime is 75538320019. The reversal of 75538320000 is 2383557.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1063919965 + ... + 1063920035.

It is an arithmetic number, because the mean of its divisors is an integer number (240897888).

Almost surely, 2^75538320000 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 75538320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154174648320).

75538320000 is an abundant number, since it is smaller than the sum of its proper divisors (232810976640).

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

75538320000 is a wasteful number, since it uses less digits than its factorization.

75538320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 75538320000 in words is "seventy-five billion, five hundred thirty-eight million, three hundred twenty thousand".