89577283968 has 128 divisors (see below), whose sum is σ = 264523209600. Its totient is φ = 29842629120.

The previous prime is 89577283931. The next prime is 89577283979. The reversal of 89577283968 is 86938277598.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 89577283896 and 89577283905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7358655 + ... + 7370817.

It is an arithmetic number, because the mean of its divisors is an integer number (2066587575).

Almost surely, 2^89577283968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89577283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132261604800).

89577283968 is an abundant number, since it is smaller than the sum of its proper divisors (174945925632).

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

89577283968 is a wasteful number, since it uses less digits than its factorization.

89577283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14317 (or 14299 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 89577283968 in words is "eighty-nine billion, five hundred seventy-seven million, two hundred eighty-three thousand, nine hundred sixty-eight".