89421622617600 has 4800 divisors, whose sum is σ = 434656815183360. Its totient is φ = 17629249536000.

The previous prime is 89421622617599. The next prime is 89421622617617. The reversal of 89421622617600 is 671622612498.

89421622617600 is a `hidden beast` number, since 8 + 9 + 4 + 2 + 1 + 6 + 2 + 26 + 1 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 148788057300 + ... + 148788057900.

Almost surely, 2^{89421622617600} is an apocalyptic number.

89421622617600 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 89421622617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217328407591680).

89421622617600 is an abundant number, since it is smaller than the sum of its proper divisors (345235192565760).

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

89421622617600 is a wasteful number, since it uses less digits than its factorization.

89421622617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 89421622617600 in words is "eighty-nine trillion, four hundred twenty-one billion, six hundred twenty-two million, six hundred seventeen thousand, six hundred".