89768278320 has 720 divisors, whose sum is σ = 350322140448. Its totient is φ = 18951045120.

The previous prime is 89768278291. The next prime is 89768278331. The reversal of 89768278320 is 2387286798.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 207316824 + ... + 207317256.

Almost surely, 2^89768278320 is an apocalyptic number.

89768278320 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 89768278320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175161070224).

89768278320 is an abundant number, since it is smaller than the sum of its proper divisors (260553862128).

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

89768278320 is a wasteful number, since it uses less digits than its factorization.

89768278320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 89768278320 in words is "eighty-nine billion, seven hundred sixty-eight million, two hundred seventy-eight thousand, three hundred twenty".