89140905216 has 432 divisors, whose sum is σ = 295361760960. Its totient is φ = 26489548800.

The previous prime is 89140905187. The next prime is 89140905221. The reversal of 89140905216 is 61250904198.

89140905216 is a `hidden beast` number, since 89 + 1 + 40 + 9 + 0 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×89140905216² (a number of 23 digits) contains 22 as substring.

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, 44325651 + ... + 44327661.

It is an arithmetic number, because the mean of its divisors is an integer number (683707780).

Almost surely, 2^89140905216 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 89140905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147680880480).

89140905216 is an abundant number, since it is smaller than the sum of its proper divisors (206220855744).

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

89140905216 is a wasteful number, since it uses less digits than its factorization.

89140905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 89140905216 in words is "eighty-nine billion, one hundred forty million, nine hundred five thousand, two hundred sixteen".