89685111035520 has 4608 divisors, whose sum is σ = 447319284572160. Its totient is φ = 16250521190400.

The previous prime is 89685111035519. The next prime is 89685111035521. The reversal of 89685111035520 is 2553011158698.

89685111035520 is a `hidden beast` number, since 8 + 9 + 6 + 8 + 5 + 1 + 1 + 103 + 5 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (89685111035519) and next prime (89685111035521).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (89685111035521) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 53800305727 + ... + 53800307393.

It is an arithmetic number, because the mean of its divisors is an integer number (97074497520).

Almost surely, 2^{89685111035520} is an apocalyptic number.

89685111035520 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 89685111035520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223659642286080).

89685111035520 is an abundant number, since it is smaller than the sum of its proper divisors (357634173536640).

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

89685111035520 is a wasteful number, since it uses less digits than its factorization.

89685111035520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 89685111035520 in words is "eighty-nine trillion, six hundred eighty-five billion, one hundred eleven million, thirty-five thousand, five hundred twenty".