89349350400 has 792 divisors, whose sum is σ = 339268535424. Its totient is φ = 23290675200.

The previous prime is 89349350393. The next prime is 89349350449. The reversal of 89349350400 is 405394398.

It is a happy number.

89349350400 is a `hidden beast` number, since 89 + 34 + 93 + 50 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329702265 + ... + 329702535.

Almost surely, 2^89349350400 is an apocalyptic number.

89349350400 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 89349350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169634267712).

89349350400 is an abundant number, since it is smaller than the sum of its proper divisors (249919185024).

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

89349350400 is a wasteful number, since it uses less digits than its factorization.

89349350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 89349350400 in words is "eighty-nine billion, three hundred forty-nine million, three hundred fifty thousand, four hundred".