89019278764416 has 2304 divisors, whose sum is σ = 365590961913600. Its totient is φ = 21337169817600.

The previous prime is 89019278764373. The next prime is 89019278764439. The reversal of 89019278764416 is 61446787291098.

89019278764416 is a `hidden beast` number, since 8 + 90 + 1 + 9 + 27 + 8 + 76 + 441 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25499648431 + ... + 25499651921.

It is an arithmetic number, because the mean of its divisors is an integer number (158676632775).

Almost surely, 2^{89019278764416} 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 89019278764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182795480956800).

89019278764416 is an abundant number, since it is smaller than the sum of its proper divisors (276571683149184).

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

89019278764416 is a wasteful number, since it uses less digits than its factorization.

89019278764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 89019278764416 in words is "eighty-nine trillion, nineteen billion, two hundred seventy-eight million, seven hundred sixty-four thousand, four hundred sixteen".