11267665920 has 832 divisors, whose sum is σ = 47557601280. Its totient is φ = 2477260800.

The previous prime is 11267665853. The next prime is 11267665967. The reversal of 11267665920 is 2956676211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158699485 + ... + 158699555.

Almost surely, 2^11267665920 is an apocalyptic number.

11267665920 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 11267665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778800640).

11267665920 is an abundant number, since it is smaller than the sum of its proper divisors (36289935360).

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

11267665920 is an equidigital number, since it uses as much as digits as its factorization.

11267665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11267665920 in words is "eleven billion, two hundred sixty-seven million, six hundred sixty-five thousand, nine hundred twenty".