89278358400 has 1152 divisors, whose sum is σ = 401562869760. Its totient is φ = 18347212800.

The previous prime is 89278358353. The next prime is 89278358413. The reversal of 89278358400 is 485387298.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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, 281635042 + ... + 281635358.

It is an arithmetic number, because the mean of its divisors is an integer number (348578880).

Almost surely, 2^89278358400 is an apocalyptic number.

89278358400 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 89278358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200781434880).

89278358400 is an abundant number, since it is smaller than the sum of its proper divisors (312284511360).

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

89278358400 is a wasteful number, since it uses less digits than its factorization.

89278358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 89278358400 in words is "eighty-nine billion, two hundred seventy-eight million, three hundred fifty-eight thousand, four hundred".