89279729280 has 1280 divisors, whose sum is σ = 400947148800. Its totient is φ = 18459353088.

The previous prime is 89279729263. The next prime is 89279729317. The reversal of 89279729280 is 8292797298.

89279729280 is a `hidden beast` number, since 89 + 279 + 7 + 2 + 9 + 280 = 666.

It is a super-3 number, since 3×89279729280³ (a number of 34 digits) contains 333 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 159 ways as a sum of consecutive naturals, for example, 158578279 + ... + 158578841.

It is an arithmetic number, because the mean of its divisors is an integer number (313239960).

Almost surely, 2^89279729280 is an apocalyptic number.

89279729280 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 89279729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200473574400).

89279729280 is an abundant number, since it is smaller than the sum of its proper divisors (311667419520).

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

89279729280 is a wasteful number, since it uses less digits than its factorization.

89279729280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 89279729280 in words is "eighty-nine billion, two hundred seventy-nine million, seven hundred twenty-nine thousand, two hundred eighty".