89956574289792 has 1792 divisors, whose sum is σ = 341179267968000. Its totient is φ = 23022294958080.

The previous prime is 89956574289779. The next prime is 89956574289809. The reversal of 89956574289792 is 29798247565998.

89956574289792 is a `hidden beast` number, since 8 + 9 + 9 + 5 + 6 + 5 + 7 + 428 + 97 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25404283542 + ... + 25404287082.

It is an arithmetic number, because the mean of its divisors is an integer number (190390216500).

Almost surely, 2^{89956574289792} 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 89956574289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170589633984000).

89956574289792 is an abundant number, since it is smaller than the sum of its proper divisors (251222693678208).

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

89956574289792 is a wasteful number, since it uses less digits than its factorization.

89956574289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3684 counting only the distinct ones).

The product of its digits is 49380710400, while the sum is 90.

The spelling of 89956574289792 in words is "eighty-nine trillion, nine hundred fifty-six billion, five hundred seventy-four million, two hundred eighty-nine thousand, seven hundred ninety-two".