89986079969280 has 1040 divisors, whose sum is σ = 352366506417024. Its totient is φ = 21786057768960.

The previous prime is 89986079969249. The next prime is 89986079969323. The reversal of 89986079969280 is 8296997068998.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16003212549 + ... + 16003218171.

Almost surely, 2^{89986079969280} is an apocalyptic number.

89986079969280 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 89986079969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176183253208512).

89986079969280 is an abundant number, since it is smaller than the sum of its proper divisors (262380426447744).

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

89986079969280 is a wasteful number, since it uses less digits than its factorization.

89986079969280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552 (or 6521 counting only the distinct ones).

The product of its (nonzero) digits is 15237476352, while the sum is 90.

The spelling of 89986079969280 in words is "eighty-nine trillion, nine hundred eighty-six billion, seventy-nine million, nine hundred sixty-nine thousand, two hundred eighty".