89937993600 has 2304 divisors, whose sum is σ = 433132277760. Its totient is φ = 17915904000.

The previous prime is 89937993599. The next prime is 89937993611. The reversal of 89937993600 is 639973998.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2193609580 + ... + 2193609620.

It is an arithmetic number, because the mean of its divisors is an integer number (187991440).

Almost surely, 2^89937993600 is an apocalyptic number.

89937993600 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 89937993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216566138880).

89937993600 is an abundant number, since it is smaller than the sum of its proper divisors (343194284160).

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

89937993600 is a wasteful number, since it uses less digits than its factorization.

89937993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 89937993600 in words is "eighty-nine billion, nine hundred thirty-seven million, nine hundred ninety-three thousand, six hundred".