21364456320 has 160 divisors (see below), whose sum is σ = 76296516120. Its totient is φ = 5697174528.

The previous prime is 21364456313. The next prime is 21364456327. The reversal of 21364456320 is 2365446312.

21364456320 is a `hidden beast` number, since 2 + 1 + 3 + 644 + 5 + 6 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21364456313) and next prime (21364456327).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×21364456320³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21364456327) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 154222 + ... + 257901.

Almost surely, 2^21364456320 is an apocalyptic number.

21364456320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21364456320 is an abundant number, since it is smaller than the sum of its proper divisors (54932059800).

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

21364456320 is an equidigital number, since it uses as much as digits as its factorization.

21364456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412154 (or 412133 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 21364456320 in words is "twenty-one billion, three hundred sixty-four million, four hundred fifty-six thousand, three hundred twenty".