89640682560 has 672 divisors, whose sum is σ = 373626034560. Its totient is φ = 20055859200.

The previous prime is 89640682553. The next prime is 89640682589. The reversal of 89640682560 is 6528604698.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 89640682497 and 89640682506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16058970 + ... + 16064550.

Almost surely, 2^89640682560 is an apocalyptic number.

89640682560 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 89640682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186813017280).

89640682560 is an abundant number, since it is smaller than the sum of its proper divisors (283985352000).

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

89640682560 is a wasteful number, since it uses less digits than its factorization.

89640682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 89640682560 in words is "eighty-nine billion, six hundred forty million, six hundred eighty-two thousand, five hundred sixty".