21345753060 has 216 divisors, whose sum is σ = 67980736824. Its totient is φ = 5421081600.

The previous prime is 21345753047. The next prime is 21345753071. The reversal of 21345753060 is 6035754312.

21345753060 is a `hidden beast` number, since 2 + 1 + 345 + 7 + 5 + 306 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5471265024 + 15874488036 = 73968^2 + 125994^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35516760 + ... + 35517360.

Almost surely, 2^21345753060 is an apocalyptic number.

21345753060 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 21345753060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33990368412).

21345753060 is an abundant number, since it is smaller than the sum of its proper divisors (46634983764).

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

21345753060 is a wasteful number, since it uses less digits than its factorization.

21345753060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 21345753060 in words is "twenty-one billion, three hundred forty-five million, seven hundred fifty-three thousand, sixty".