21774733560 has 192 divisors, whose sum is σ = 77348494080. Its totient is φ = 5288693760.

The previous prime is 21774733531. The next prime is 21774733613. The reversal of 21774733560 is 6533747712.

21774733560 is a `hidden beast` number, since 2 + 17 + 7 + 4 + 73 + 3 + 560 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132334 + ... + 247106.

It is an arithmetic number, because the mean of its divisors is an integer number (402856740).

Almost surely, 2^21774733560 is an apocalyptic number.

21774733560 is a gapful number since it is divisible by the number (20) 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 21774733560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38674247040).

21774733560 is an abundant number, since it is smaller than the sum of its proper divisors (55573760520).

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

21774733560 is a wasteful number, since it uses less digits than its factorization.

21774733560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114838 (or 114831 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 21774733560 in words is "twenty-one billion, seven hundred seventy-four million, seven hundred thirty-three thousand, five hundred sixty".