11265645510 has 256 divisors, whose sum is σ = 36476282880. Its totient is φ = 2415329280.

The previous prime is 11265645499. The next prime is 11265645511. The reversal of 11265645510 is 1554656211.

11265645510 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 5 + 645 + 5 + 1 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11265645511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17574790 + ... + 17575430.

It is an arithmetic number, because the mean of its divisors is an integer number (142485480).

Almost surely, 2^11265645510 is an apocalyptic number.

11265645510 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 11265645510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18238141440).

11265645510 is an abundant number, since it is smaller than the sum of its proper divisors (25210637370).

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

11265645510 is a wasteful number, since it uses less digits than its factorization.

11265645510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 11265645510 in words is "eleven billion, two hundred sixty-five million, six hundred forty-five thousand, five hundred ten".