11260540500 has 384 divisors, whose sum is σ = 37531952640. Its totient is φ = 2598400000.

The previous prime is 11260540477. The next prime is 11260540517. The reversal of 11260540500 is 504506211.

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, 48328384 + ... + 48328616.

It is an arithmetic number, because the mean of its divisors is an integer number (97739460).

Almost surely, 2^11260540500 is an apocalyptic number.

11260540500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11260540500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18765976320).

11260540500 is an abundant number, since it is smaller than the sum of its proper divisors (26271412140).

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

11260540500 is a wasteful number, since it uses less digits than its factorization.

11260540500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 11260540500 in words is "eleven billion, two hundred sixty million, five hundred forty thousand, five hundred".