11263674240 has 1536 divisors, whose sum is σ = 53758080000. Its totient is φ = 2173796352.

The previous prime is 11263674223. The next prime is 11263674251. The reversal of 11263674240 is 4247636211.

11263674240 is a `hidden beast` number, since 1 + 12 + 636 + 7 + 4 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11263674195 and 11263674204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 388402546 + ... + 388402574.

It is an arithmetic number, because the mean of its divisors is an integer number (34998750).

Almost surely, 2^11263674240 is an apocalyptic number.

11263674240 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 11263674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26879040000).

11263674240 is an abundant number, since it is smaller than the sum of its proper divisors (42494405760).

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

11263674240 is a wasteful number, since it uses less digits than its factorization.

11263674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 11263674240 in words is "eleven billion, two hundred sixty-three million, six hundred seventy-four thousand, two hundred forty".