89478854400 has 432 divisors, whose sum is σ = 319709398400. Its totient is φ = 21908275200.

The previous prime is 89478854329. The next prime is 89478854473. The reversal of 89478854400 is 445887498.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52664751 + ... + 52666449.

Almost surely, 2^89478854400 is an apocalyptic number.

89478854400 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 89478854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159854699200).

89478854400 is an abundant number, since it is smaller than the sum of its proper divisors (230230544000).

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

89478854400 is a wasteful number, since it uses less digits than its factorization.

89478854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 89478854400 in words is "eighty-nine billion, four hundred seventy-eight million, eight hundred fifty-four thousand, four hundred".