89575870691680 has 96 divisors (see below), whose sum is σ = 212571645590304. Its totient is φ = 35669788594176.

The previous prime is 89575870691641. The next prime is 89575870691687. The reversal of 89575870691680 is 8619607857598.

89575870691680 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-2 number, since 2×89575870691680² (a number of 29 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 89575870691680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89575870691687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198215742 + ... + 198667138.

It is an arithmetic number, because the mean of its divisors is an integer number (2214287974899).

Almost surely, 2^{89575870691680} is an apocalyptic number.

89575870691680 is a gapful number since it is divisible by the number (80) 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 89575870691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106285822795152).

89575870691680 is an abundant number, since it is smaller than the sum of its proper divisors (122995774898624).

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

89575870691680 is a wasteful number, since it uses less digits than its factorization.

89575870691680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456968 (or 456960 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 79.

The spelling of 89575870691680 in words is "eighty-nine trillion, five hundred seventy-five billion, eight hundred seventy million, six hundred ninety-one thousand, six hundred eighty".