89855188416 has 168 divisors, whose sum is σ = 298380184544. Its totient is φ = 25321144320.

The previous prime is 89855188411. The next prime is 89855188421. The reversal of 89855188416 is 61488155898.

89855188416 is a `hidden beast` number, since 8 + 98 + 5 + 51 + 88 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (89855188411) and next prime (89855188421).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89855188411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141696 + ... + 446976.

Almost surely, 2^89855188416 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 89855188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149190092272).

89855188416 is an abundant number, since it is smaller than the sum of its proper divisors (208524996128).

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

89855188416 is a wasteful number, since it uses less digits than its factorization.

89855188416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305379 (or 305366 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 63.

The spelling of 89855188416 in words is "eighty-nine billion, eight hundred fifty-five million, one hundred eighty-eight thousand, four hundred sixteen".