89986740480 has 1728 divisors, whose sum is σ = 413671587840. Its totient is φ = 18114969600.

The previous prime is 89986740457. The next prime is 89986740499. The reversal of 89986740480 is 8404768998.

89986740480 is a `hidden beast` number, since 8 + 9 + 9 + 86 + 74 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×89986740480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1267418845 + ... + 1267418915.

It is an arithmetic number, because the mean of its divisors is an integer number (239393280).

Almost surely, 2^89986740480 is an apocalyptic number.

89986740480 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 89986740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206835793920).

89986740480 is an abundant number, since it is smaller than the sum of its proper divisors (323684847360).

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

89986740480 is a wasteful number, since it uses less digits than its factorization.

89986740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 89986740480 in words is "eighty-nine billion, nine hundred eighty-six million, seven hundred forty thousand, four hundred eighty".