90860320512 has 504 divisors, whose sum is σ = 310208142384. Its totient is φ = 26300547072.

The previous prime is 90860320423. The next prime is 90860320513. The reversal of 90860320512 is 21502306809.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90860320513) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 41242803 + ... + 41245005.

It is an arithmetic number, because the mean of its divisors is an integer number (615492346).

Almost surely, 2^90860320512 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 90860320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155104071192).

90860320512 is an abundant number, since it is smaller than the sum of its proper divisors (219347821872).

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

90860320512 is a wasteful number, since it uses less digits than its factorization.

90860320512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 90860320512 in words is "ninety billion, eight hundred sixty million, three hundred twenty thousand, five hundred twelve".