11812590510 has 256 divisors, whose sum is σ = 34837862400. Its totient is φ = 2503747584.

The previous prime is 11812590509. The next prime is 11812590521. The reversal of 11812590510 is 1509521811.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68280784 + ... + 68280956.

It is an arithmetic number, because the mean of its divisors is an integer number (136085400).

Almost surely, 2^11812590510 is an apocalyptic number.

11812590510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11812590510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418931200).

11812590510 is an abundant number, since it is smaller than the sum of its proper divisors (23025271890).

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

11812590510 is a wasteful number, since it uses less digits than its factorization.

11812590510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475.

The product of its (nonzero) digits is 3600, while the sum is 33.

The spelling of 11812590510 in words is "eleven billion, eight hundred twelve million, five hundred ninety thousand, five hundred ten".