75399885506880 has 336 divisors, whose sum is σ = 282969612229824. Its totient is φ = 18275615170560.

The previous prime is 75399885506851. The next prime is 75399885506987. The reversal of 75399885506880 is 8860558899357.

75399885506880 is a `hidden beast` number, since 7 + 53 + 9 + 9 + 8 + 8 + 550 + 6 + 8 + 8 + 0 = 666.

75399885506880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×75399885506880³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 75399885506880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186615159 + ... + 187018761.

Almost surely, 2^{75399885506880} 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 75399885506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141484806114912).

75399885506880 is an abundant number, since it is smaller than the sum of its proper divisors (207569726722944).

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

75399885506880 is a wasteful number, since it uses less digits than its factorization.

75399885506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409534 (or 409521 counting only the distinct ones).

The product of its (nonzero) digits is 5225472000, while the sum is 81.

The spelling of 75399885506880 in words is "seventy-five trillion, three hundred ninety-nine billion, eight hundred eighty-five million, five hundred six thousand, eight hundred eighty".