89009915904 has 1152 divisors, whose sum is σ = 349483680000. Its totient is φ = 22239608832.

The previous prime is 89009915899. The next prime is 89009915921. The reversal of 89009915904 is 40951990098.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 4684732407 + ... + 4684732425.

It is an arithmetic number, because the mean of its divisors is an integer number (303371250).

Almost surely, 2^89009915904 is an apocalyptic number.

89009915904 is a gapful number since it is divisible by the number (84) 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 89009915904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840000).

89009915904 is an abundant number, since it is smaller than the sum of its proper divisors (260473764096).

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

89009915904 is a wasteful number, since it uses less digits than its factorization.

89009915904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 89009915904 in words is "eighty-nine billion, nine million, nine hundred fifteen thousand, nine hundred four".