89660488147200 has 1944 divisors, whose sum is σ = 353596832604288. Its totient is φ = 21598617600000.

The previous prime is 89660488147189. The next prime is 89660488147259. The reversal of 89660488147200 is 274188406698.

89660488147200 is a `hidden beast` number, since 8 + 9 + 6 + 6 + 0 + 488 + 147 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 142092690885 + ... + 142092691515.

Almost surely, 2^{89660488147200} is an apocalyptic number.

89660488147200 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 89660488147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176798416302144).

89660488147200 is an abundant number, since it is smaller than the sum of its proper divisors (263936344457088).

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

89660488147200 is a wasteful number, since it uses less digits than its factorization.

89660488147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 89660488147200 in words is "eighty-nine trillion, six hundred sixty billion, four hundred eighty-eight million, one hundred forty-seven thousand, two hundred".