89781409536 has 648 divisors, whose sum is σ = 317255944320. Its totient is φ = 22402179072.

The previous prime is 89781409463. The next prime is 89781409541. The reversal of 89781409536 is 63590418798.

It is a self number, because there is not a number n which added to its sum of digits gives 89781409536.

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 71 ways as a sum of consecutive naturals, for example, 120835981 + ... + 120836723.

Almost surely, 2^89781409536 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 89781409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158627972160).

89781409536 is an abundant number, since it is smaller than the sum of its proper divisors (227474534784).

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

89781409536 is a wasteful number, since it uses less digits than its factorization.

89781409536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 89781409536 in words is "eighty-nine billion, seven hundred eighty-one million, four hundred nine thousand, five hundred thirty-six".