11364192840 has 512 divisors, whose sum is σ = 46332518400. Its totient is φ = 2153226240.

The previous prime is 11364192821. The next prime is 11364192857. The reversal of 11364192840 is 4829146311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10690149 + ... + 10691211.

It is an arithmetic number, because the mean of its divisors is an integer number (90493200).

Almost surely, 2^11364192840 is an apocalyptic number.

11364192840 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 11364192840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23166259200).

11364192840 is an abundant number, since it is smaller than the sum of its proper divisors (34968325560).

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

11364192840 is a wasteful number, since it uses less digits than its factorization.

11364192840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 11364192840 in words is "eleven billion, three hundred sixty-four million, one hundred ninety-two thousand, eight hundred forty".