11729092840920 has 320 divisors, whose sum is σ = 48520351091520. Its totient is φ = 2474709636096.

The previous prime is 11729092840901. The next prime is 11729092840921. The reversal of 11729092840920 is 2904829092711.

It is a happy number.

11729092840920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11729092840921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19595767 + ... + 20185446.

It is an arithmetic number, because the mean of its divisors is an integer number (151626097161).

Almost surely, 2^{11729092840920} is an apocalyptic number.

11729092840920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11729092840920 is an abundant number, since it is smaller than the sum of its proper divisors (36791258250600).

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

11729092840920 is a wasteful number, since it uses less digits than its factorization.

11729092840920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39781256 (or 39781243 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 11729092840920 in words is "eleven trillion, seven hundred twenty-nine billion, ninety-two million, eight hundred forty thousand, nine hundred twenty".