89069198400 has 1344 divisors, whose sum is σ = 404962969600. Its totient is φ = 18542960640.

The previous prime is 89069198371. The next prime is 89069198461. The reversal of 89069198400 is 489196098.

89069198400 is a `hidden beast` number, since 8 + 90 + 69 + 1 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 546436719 + ... + 546436881.

Almost surely, 2^89069198400 is an apocalyptic number.

89069198400 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 89069198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202481484800).

89069198400 is an abundant number, since it is smaller than the sum of its proper divisors (315893771200).

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

89069198400 is a wasteful number, since it uses less digits than its factorization.

89069198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 89069198400 in words is "eighty-nine billion, sixty-nine million, one hundred ninety-eight thousand, four hundred".