89662374100 has 288 divisors, whose sum is σ = 227015157600. Its totient is φ = 30443765760.

The previous prime is 89662374097. The next prime is 89662374101. The reversal of 89662374100 is 147326698.

It can be written as a sum of positive squares in 48 ways, for example, as 89512262596 + 150111504 = 299186^2 + 12252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89662374101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240381514 + ... + 240381886.

It is an arithmetic number, because the mean of its divisors is an integer number (788247075).

Almost surely, 2^89662374100 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 89662374100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113507578800).

89662374100 is an abundant number, since it is smaller than the sum of its proper divisors (137352783500).

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

89662374100 is a wasteful number, since it uses less digits than its factorization.

89662374100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 89662374100 in words is "eighty-nine billion, six hundred sixty-two million, three hundred seventy-four thousand, one hundred".