75015825912 has 96 divisors (see below), whose sum is σ = 210480516480. Its totient is φ = 24111095040.

The previous prime is 75015825883. The next prime is 75015825917. The reversal of 75015825912 is 21952851057.

75015825912 is a `hidden beast` number, since 7 + 5 + 0 + 1 + 58 + 2 + 591 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75015825917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557598 + ... + 678930.

It is an arithmetic number, because the mean of its divisors is an integer number (2192505380).

Almost surely, 2^75015825912 is an apocalyptic number.

75015825912 is a gapful number since it is divisible by the number (72) 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 75015825912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105240258240).

75015825912 is an abundant number, since it is smaller than the sum of its proper divisors (135464690568).

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

75015825912 is a wasteful number, since it uses less digits than its factorization.

75015825912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121653 (or 121646 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 75015825912 in words is "seventy-five billion, fifteen million, eight hundred twenty-five thousand, nine hundred twelve".