23135416290 has 192 divisors, whose sum is σ = 71091244800. Its totient is φ = 5244673536.

The previous prime is 23135416289. The next prime is 23135416313. The reversal of 23135416290 is 9261453132.

23135416290 is a `hidden beast` number, since 2 + 3 + 1 + 354 + 16 + 290 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56565606 + ... + 56566014.

It is an arithmetic number, because the mean of its divisors is an integer number (370266900).

Almost surely, 2^23135416290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23135416290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35545622400).

23135416290 is an abundant number, since it is smaller than the sum of its proper divisors (47955828510).

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

23135416290 is a wasteful number, since it uses less digits than its factorization.

23135416290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 23135416290 in words is "twenty-three billion, one hundred thirty-five million, four hundred sixteen thousand, two hundred ninety".