89168963571072 has 1600 divisors, whose sum is σ = 344488640179200. Its totient is φ = 22405368268800.

The previous prime is 89168963571071. The next prime is 89168963571073. The reversal of 89168963571072 is 27017536986198.

89168963571072 is a `hidden beast` number, since 8 + 9 + 168 + 9 + 6 + 357 + 107 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (89168963571071) and next prime (89168963571073).

It is a super-2 number, since 2×89168963571072² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89168963571071) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 32940140343 + ... + 32940143049.

It is an arithmetic number, because the mean of its divisors is an integer number (215305400112).

Almost surely, 2^{89168963571072} 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 89168963571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172244320089600).

89168963571072 is an abundant number, since it is smaller than the sum of its proper divisors (255319676608128).

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

89168963571072 is an equidigital number, since it uses as much as digits as its factorization.

89168963571072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 89168963571072 in words is "eighty-nine trillion, one hundred sixty-eight billion, nine hundred sixty-three million, five hundred seventy-one thousand, seventy-two".