89225053424640 has 1760 divisors, whose sum is σ = 379039577241600. Its totient is φ = 19637370224640.

The previous prime is 89225053424609. The next prime is 89225053424687. The reversal of 89225053424640 is 4642435052298.

89225053424640 is a `hidden beast` number, since 8 + 9 + 2 + 25 + 0 + 534 + 2 + 46 + 40 = 666.

It is a super-2 number, since 2×89225053424640² (a number of 29 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 36285095731 + ... + 36285098189.

It is an arithmetic number, because the mean of its divisors is an integer number (215363396160).

Almost surely, 2^{89225053424640} is an apocalyptic number.

89225053424640 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 89225053424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189519788620800).

89225053424640 is an abundant number, since it is smaller than the sum of its proper divisors (289814523816960).

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

89225053424640 is a wasteful number, since it uses less digits than its factorization.

89225053424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 89225053424640 in words is "eighty-nine trillion, two hundred twenty-five billion, fifty-three million, four hundred twenty-four thousand, six hundred forty".