11565633420 has 144 divisors (see below), whose sum is σ = 39205464480. Its totient is φ = 2735385600.

The previous prime is 11565633407. The next prime is 11565633451. The reversal of 11565633420 is 2433656511.

11565633420 is a `hidden beast` number, since 1 + 1 + 56 + 563 + 3 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9946 + ... + 152414.

It is an arithmetic number, because the mean of its divisors is an integer number (272260170).

Almost surely, 2^11565633420 is an apocalyptic number.

11565633420 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 11565633420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602732240).

11565633420 is an abundant number, since it is smaller than the sum of its proper divisors (27639831060).

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

11565633420 is a wasteful number, since it uses less digits than its factorization.

11565633420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142536 (or 142531 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 11565633420 in words is "eleven billion, five hundred sixty-five million, six hundred thirty-three thousand, four hundred twenty".