89671325400 has 576 divisors, whose sum is σ = 328748958720. Its totient is φ = 22684147200.

The previous prime is 89671325363. The next prime is 89671325413. The reversal of 89671325400 is 452317698.

89671325400 is a `hidden beast` number, since 8 + 9 + 6 + 71 + 32 + 540 + 0 = 666.

It is a super-3 number, since 3×89671325400³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79849239 + ... + 79850361.

It is an arithmetic number, because the mean of its divisors is an integer number (570744720).

It is a 2-persistent number, because it is pandigital, and so is 2⋅89671325400 = 179342650800, but 3⋅89671325400 = 269013976200 is not.

Almost surely, 2^89671325400 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 89671325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164374479360).

89671325400 is an abundant number, since it is smaller than the sum of its proper divisors (239077633320).

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

89671325400 is a wasteful number, since it uses less digits than its factorization.

89671325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 89671325400 in words is "eighty-nine billion, six hundred seventy-one million, three hundred twenty-five thousand, four hundred".