89981421600 has 864 divisors, whose sum is σ = 364692658176. Its totient is φ = 18863308800.

The previous prime is 89981421587. The next prime is 89981421613. The reversal of 89981421600 is 612418998.

It is an interprime number because it is at equal distance from previous prime (89981421587) and next prime (89981421613).

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

It is a self number, because there is not a number n which added to its sum of digits gives 89981421600.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208773385 + ... + 208773815.

It is an arithmetic number, because the mean of its divisors is an integer number (422097984).

Almost surely, 2^89981421600 is an apocalyptic number.

89981421600 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 89981421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182346329088).

89981421600 is an abundant number, since it is smaller than the sum of its proper divisors (274711236576).

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

89981421600 is a wasteful number, since it uses less digits than its factorization.

89981421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 89981421600 in words is "eighty-nine billion, nine hundred eighty-one million, four hundred twenty-one thousand, six hundred".