89811348480 has 440 divisors, whose sum is σ = 367821139488. Its totient is φ = 20527644672.

The previous prime is 89811348469. The next prime is 89811348499. The reversal of 89811348480 is 8484311898.

89811348480 is a `hidden beast` number, since 8 + 9 + 8 + 113 + 48 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2887572 + ... + 2918508.

Almost surely, 2^89811348480 is an apocalyptic number.

89811348480 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 89811348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183910569744).

89811348480 is an abundant number, since it is smaller than the sum of its proper divisors (278009791008).

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

89811348480 is a wasteful number, since it uses less digits than its factorization.

89811348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30981 (or 30954 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 89811348480 in words is "eighty-nine billion, eight hundred eleven million, three hundred forty-eight thousand, four hundred eighty".