89400331155456 has 384 divisors, whose sum is σ = 273474525542400. Its totient is φ = 28827574272000.

The previous prime is 89400331155449. The next prime is 89400331155529. The reversal of 89400331155456 is 65455113300498.

89400331155456 is a `hidden beast` number, since 8 + 9 + 4 + 0 + 0 + 3 + 31 + 1 + 554 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5161375276 + ... + 5161392596.

It is an arithmetic number, because the mean of its divisors is an integer number (712173243600).

Almost surely, 2^{89400331155456} 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 89400331155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136737262771200).

89400331155456 is an abundant number, since it is smaller than the sum of its proper divisors (184074194386944).

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

89400331155456 is a wasteful number, since it uses less digits than its factorization.

89400331155456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20394 (or 20368 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 89400331155456 in words is "eighty-nine trillion, four hundred billion, three hundred thirty-one million, one hundred fifty-five thousand, four hundred fifty-six".