11782992240 has 120 divisors (see below), whose sum is σ = 41036883888. Its totient is φ = 3142126080.

The previous prime is 11782992217. The next prime is 11782992241. The reversal of 11782992240 is 4229928711.

11782992240 is a `hidden beast` number, since 117 + 8 + 299 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11782992240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11782992241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283621 + ... + 322500.

Almost surely, 2^11782992240 is an apocalyptic number.

11782992240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11782992240 is an abundant number, since it is smaller than the sum of its proper divisors (29253891648).

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

11782992240 is an equidigital number, since it uses as much as digits as its factorization.

11782992240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606149 (or 606131 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11782992240 in words is "eleven billion, seven hundred eighty-two million, nine hundred ninety-two thousand, two hundred forty".