11431761120 has 768 divisors, whose sum is σ = 45357096960. Its totient is φ = 2670796800.

The previous prime is 11431761101. The next prime is 11431761127. The reversal of 11431761120 is 2116713411.

11431761120 is a `hidden beast` number, since 1 + 1 + 43 + 1 + 7 + 611 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431761127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161010685 + ... + 161010755.

It is an arithmetic number, because the mean of its divisors is an integer number (59058720).

Almost surely, 2^11431761120 is an apocalyptic number.

11431761120 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 11431761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22678548480).

11431761120 is an abundant number, since it is smaller than the sum of its proper divisors (33925335840).

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

11431761120 is a wasteful number, since it uses less digits than its factorization.

11431761120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11431761120 in words is "eleven billion, four hundred thirty-one million, seven hundred sixty-one thousand, one hundred twenty".