89430900384 has 192 divisors, whose sum is σ = 276290784000. Its totient is φ = 25316250624.

The previous prime is 89430900347. The next prime is 89430900397. The reversal of 89430900384 is 48300903498.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3576694 + ... + 3601610.

It is an arithmetic number, because the mean of its divisors is an integer number (1439014500).

Almost surely, 2^89430900384 is an apocalyptic number.

89430900384 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 89430900384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138145392000).

89430900384 is an abundant number, since it is smaller than the sum of its proper divisors (186859883616).

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

89430900384 is a wasteful number, since it uses less digits than its factorization.

89430900384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25060 (or 25038 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 89430900384 in words is "eighty-nine billion, four hundred thirty million, nine hundred thousand, three hundred eighty-four".