21362745600 has 1215 divisors, whose sum is σ = 95161433367. Its totient is φ = 4714536960.

The previous prime is 21362745557. The next prime is 21362745617. The reversal of 21362745600 is 654726312.

The square root of 21362745600 is 146160.

It is a perfect power (a square), and thus also a powerful number.

21362745600 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 2 + 7 + 45 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 293642496 + 21069103104 = 17136^2 + 145152^2 .

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 (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 736646386 + ... + 736646414.

Almost surely, 2^21362745600 is an apocalyptic number.

21362745600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21362745600 is the 146160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21362745600

21362745600 is an abundant number, since it is smaller than the sum of its proper divisors (73798687767).

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

21362745600 is an equidigital number, since it uses as much as digits as its factorization.

21362745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 21362745600 by its sum of digits (36), we get a square (769058841600 = 876960²).

21362745600 divided by its sum of digits (36) gives a square (593409600 = 24360²).

21362745600 divided by its product of nonzero digits (60480) gives a triangular number (353220 = T₈₄₀).

The spelling of 21362745600 in words is "twenty-one billion, three hundred sixty-two million, seven hundred forty-five thousand, six hundred".