89696808000 has 560 divisors, whose sum is σ = 334416654000. Its totient is φ = 23733043200.

The previous prime is 89696807917. The next prime is 89696808011. The reversal of 89696808000 is 80869698.

It can be written as a sum of positive squares in 8 ways, for example, as 74502794304 + 15194013696 = 272952^2 + 123264^2 .

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 79 ways as a sum of consecutive naturals, for example, 96551536 + ... + 96552464.

Almost surely, 2^89696808000 is an apocalyptic number.

89696808000 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 89696808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167208327000).

89696808000 is an abundant number, since it is smaller than the sum of its proper divisors (244719846000).

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

89696808000 is a wasteful number, since it uses less digits than its factorization.

89696808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 89696808000 in words is "eighty-nine billion, six hundred ninety-six million, eight hundred eight thousand".