11247750720 has 672 divisors, whose sum is σ = 44201364480. Its totient is φ = 2709780480.

The previous prime is 11247750707. The next prime is 11247750763. The reversal of 11247750720 is 2705774211.

11247750720 is a `hidden beast` number, since 1 + 124 + 7 + 7 + 507 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33980955 + ... + 33981285.

It is an arithmetic number, because the mean of its divisors is an integer number (65775840).

Almost surely, 2^11247750720 is an apocalyptic number.

11247750720 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 11247750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22100682240).

11247750720 is an abundant number, since it is smaller than the sum of its proper divisors (32953613760).

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

11247750720 is a wasteful number, since it uses less digits than its factorization.

11247750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 11247750720 in words is "eleven billion, two hundred forty-seven million, seven hundred fifty thousand, seven hundred twenty".