89048695680 has 768 divisors, whose sum is σ = 369212256000. Its totient is φ = 20224512000.

The previous prime is 89048695669. The next prime is 89048695733. The reversal of 89048695680 is 8659684098.

89048695680 is a `hidden beast` number, since 8 + 9 + 0 + 4 + 8 + 69 + 568 + 0 = 666.

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

It is a congruent number.

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, 212526511 + ... + 212526929.

It is an arithmetic number, because the mean of its divisors is an integer number (480745125).

Almost surely, 2^89048695680 is an apocalyptic number.

89048695680 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 89048695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184606128000).

89048695680 is an abundant number, since it is smaller than the sum of its proper divisors (280163560320).

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

89048695680 is a wasteful number, since it uses less digits than its factorization.

89048695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 89048695680 in words is "eighty-nine billion, forty-eight million, six hundred ninety-five thousand, six hundred eighty".