75321217856 has 56 divisors (see below), whose sum is σ = 157429382880. Its totient is φ = 35656422912.

The previous prime is 75321217771. The next prime is 75321217889. The reversal of 75321217856 is 65871212357.

It is a super-2 number, since 2×75321217856² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75321217856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2040395 + ... + 2076981.

It is an arithmetic number, because the mean of its divisors is an integer number (2811238980).

Almost surely, 2^75321217856 is an apocalyptic number.

75321217856 is a gapful number since it is divisible by the number (76) 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 75321217856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78714691440).

75321217856 is an abundant number, since it is smaller than the sum of its proper divisors (82108165024).

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

75321217856 is a wasteful number, since it uses less digits than its factorization.

75321217856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38311 (or 38301 counting only the distinct ones).

The product of its digits is 705600, while the sum is 47.

The spelling of 75321217856 in words is "seventy-five billion, three hundred twenty-one million, two hundred seventeen thousand, eight hundred fifty-six".