89472673382400 has 3888 divisors, whose sum is σ = 422973426343104. Its totient is φ = 17553162240000.

The previous prime is 89472673382399. The next prime is 89472673382401. The reversal of 89472673382400 is 428337627498.

89472673382400 is a `hidden beast` number, since 8 + 94 + 7 + 2 + 67 + 3 + 3 + 82 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (89472673382399) and next prime (89472673382401).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (89472673382401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2182260326380 + ... + 2182260326420.

It is an arithmetic number, because the mean of its divisors is an integer number (108789461508).

Almost surely, 2^{89472673382400} is an apocalyptic number.

89472673382400 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 89472673382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211486713171552).

89472673382400 is an abundant number, since it is smaller than the sum of its proper divisors (333500752960704).

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

89472673382400 is a wasteful number, since it uses less digits than its factorization.

89472673382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 89472673382400 in words is "eighty-nine trillion, four hundred seventy-two billion, six hundred seventy-three million, three hundred eighty-two thousand, four hundred".