11420577792 has 156 divisors (see below), whose sum is σ = 35527839984. Its totient is φ = 3513876480.

The previous prime is 11420577769. The next prime is 11420577793. The reversal of 11420577792 is 29777502411.

11420577792 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 0 + 577 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (156).

It is not an unprimeable number, because it can be changed into a prime (11420577793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467317 + ... + 491147.

It is an arithmetic number, because the mean of its divisors is an integer number (227742564).

Almost surely, 2^11420577792 is an apocalyptic number.

11420577792 is a gapful number since it is divisible by the number (12) 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 11420577792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17763919992).

11420577792 is an abundant number, since it is smaller than the sum of its proper divisors (24107262192).

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

11420577792 is a wasteful number, since it uses less digits than its factorization.

11420577792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23874 (or 23849 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 11420577792 in words is "eleven billion, four hundred twenty million, five hundred seventy-seven thousand, seven hundred ninety-two".