11025740736 has 560 divisors, whose sum is σ = 37293864960. Its totient is φ = 3202467840.

The previous prime is 11025740707. The next prime is 11025740771. The reversal of 11025740736 is 63704752011.

It is a happy number.

11025740736 is a `hidden beast` number, since 1 + 10 + 2 + 574 + 0 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11025740736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70227570 + ... + 70227726.

Almost surely, 2^11025740736 is an apocalyptic number.

11025740736 is a gapful number since it is divisible by the number (16) 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 11025740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18646932480).

11025740736 is an abundant number, since it is smaller than the sum of its proper divisors (26268124224).

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

11025740736 is a wasteful number, since it uses less digits than its factorization.

11025740736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 11025740736 in words is "eleven billion, twenty-five million, seven hundred forty thousand, seven hundred thirty-six".