75212563031680 has 256 divisors, whose sum is σ = 189540439395840. Its totient is φ = 28483120005120.

The previous prime is 75212563031663. The next prime is 75212563031681. The reversal of 75212563031680 is 8613036521257.

It is a happy number.

75212563031680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (75212563031681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3264280960 + ... + 3264304000.

It is an arithmetic number, because the mean of its divisors is an integer number (740392341390).

Almost surely, 2^{75212563031680} 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 75212563031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94770219697920).

75212563031680 is an abundant number, since it is smaller than the sum of its proper divisors (114327876364160).

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

75212563031680 is a wasteful number, since it uses less digits than its factorization.

75212563031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25339 (or 25327 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 75212563031680 in words is "seventy-five trillion, two hundred twelve billion, five hundred sixty-three million, thirty-one thousand, six hundred eighty".