90060093816 has 192 divisors, whose sum is σ = 284877062400. Its totient is φ = 23223214080.

The previous prime is 90060093769. The next prime is 90060093839. The reversal of 90060093816 is 61839006009.

It is a super-2 number, since 2×90060093816² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2809656 + ... + 2841528.

It is an arithmetic number, because the mean of its divisors is an integer number (1483734700).

Almost surely, 2^90060093816 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 90060093816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142438531200).

90060093816 is an abundant number, since it is smaller than the sum of its proper divisors (194816968584).

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

90060093816 is a wasteful number, since it uses less digits than its factorization.

90060093816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32050 (or 32035 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 90060093816 in words is "ninety billion, sixty million, ninety-three thousand, eight hundred sixteen".