75253397760 has 288 divisors, whose sum is σ = 275663324160. Its totient is φ = 19419955200.

The previous prime is 75253397743. The next prime is 75253397773. The reversal of 75253397760 is 6779335257.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 75253397697 and 75253397706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036240 + ... + 1106480.

It is an arithmetic number, because the mean of its divisors is an integer number (957164320).

Almost surely, 2^75253397760 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 75253397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137831662080).

75253397760 is an abundant number, since it is smaller than the sum of its proper divisors (200409926400).

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

75253397760 is a wasteful number, since it uses less digits than its factorization.

75253397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70302 (or 70282 counting only the distinct ones).

The product of its (nonzero) digits is 8334900, while the sum is 54.

The spelling of 75253397760 in words is "seventy-five billion, two hundred fifty-three million, three hundred ninety-seven thousand, seven hundred sixty".