89965800000 has 504 divisors, whose sum is σ = 325432545984. Its totient is φ = 23760000000.

The previous prime is 89965799993. The next prime is 89965800017. The reversal of 89965800000 is 856998.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 271799835 + ... + 271800165.

It is an arithmetic number, because the mean of its divisors is an integer number (645699496).

Almost surely, 2^89965800000 is an apocalyptic number.

89965800000 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 89965800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162716272992).

89965800000 is an abundant number, since it is smaller than the sum of its proper divisors (235466745984).

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

89965800000 is a wasteful number, since it uses less digits than its factorization.

89965800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 89965800000 in words is "eighty-nine billion, nine hundred sixty-five million, eight hundred thousand".