89741177856 has 440 divisors, whose sum is σ = 299602195200. Its totient is φ = 26519961600.

The previous prime is 89741177809. The next prime is 89741177881. The reversal of 89741177856 is 65877114798.

It is a junction number, because it is equal to n+sod(n) for n = 89741177793 and 89741177802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37406545 + ... + 37408943.

It is an arithmetic number, because the mean of its divisors is an integer number (680914080).

Almost surely, 2^89741177856 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 89741177856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149801097600).

89741177856 is an abundant number, since it is smaller than the sum of its proper divisors (209861017344).

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

89741177856 is a wasteful number, since it uses less digits than its factorization.

89741177856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2456 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 63.

The spelling of 89741177856 in words is "eighty-nine billion, seven hundred forty-one million, one hundred seventy-seven thousand, eight hundred fifty-six".