89050854816 has 576 divisors, whose sum is σ = 337344860160. Its totient is φ = 22587102720.

The previous prime is 89050854797. The next prime is 89050854821. The reversal of 89050854816 is 61845805098.

It is a happy number.

89050854816 is a `hidden beast` number, since 8 + 9 + 0 + 508 + 54 + 81 + 6 = 666.

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

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, 20022705 + ... + 20027151.

It is an arithmetic number, because the mean of its divisors is an integer number (585668160).

Almost surely, 2^89050854816 is an apocalyptic number.

89050854816 is a gapful number since it is divisible by the number (86) 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 89050854816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168672430080).

89050854816 is an abundant number, since it is smaller than the sum of its proper divisors (248294005344).

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

89050854816 is a wasteful number, since it uses less digits than its factorization.

89050854816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 89050854816 in words is "eighty-nine billion, fifty million, eight hundred fifty-four thousand, eight hundred sixteen".