11225774560 has 1152 divisors, whose sum is σ = 41699266560. Its totient is φ = 2786918400.

The previous prime is 11225774537. The next prime is 11225774561. The reversal of 11225774560 is 6547752211.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11225774561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362121745 + ... + 362121775.

It is an arithmetic number, because the mean of its divisors is an integer number (36197280).

Almost surely, 2^11225774560 is an apocalyptic number.

11225774560 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 11225774560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20849633280).

11225774560 is an abundant number, since it is smaller than the sum of its proper divisors (30473492000).

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

11225774560 is a wasteful number, since it uses less digits than its factorization.

11225774560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 11225774560 in words is "eleven billion, two hundred twenty-five million, seven hundred seventy-four thousand, five hundred sixty".