89679346560 has 256 divisors, whose sum is σ = 336298651200. Its totient is φ = 22507683840.

The previous prime is 89679346517. The next prime is 89679346583. The reversal of 89679346560 is 6564397698.

89679346560 is a `hidden beast` number, since 8 + 9 + 67 + 9 + 3 + 4 + 6 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141120 + ... + 446400.

Almost surely, 2^89679346560 is an apocalyptic number.

89679346560 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 89679346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168149325600).

89679346560 is an abundant number, since it is smaller than the sum of its proper divisors (246619304640).

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

89679346560 is a wasteful number, since it uses less digits than its factorization.

89679346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305326 (or 305308 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 89679346560 in words is "eighty-nine billion, six hundred seventy-nine million, three hundred forty-six thousand, five hundred sixty".