21363795264 has 448 divisors, whose sum is σ = 69254721536. Its totient is φ = 5685313536.

The previous prime is 21363795259. The next prime is 21363795269. The reversal of 21363795264 is 46259736312.

It is an interprime number because it is at equal distance from previous prime (21363795259) and next prime (21363795269).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21363795269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207415437 + ... + 207415539.

It is an arithmetic number, because the mean of its divisors is an integer number (154586432).

Almost surely, 2^21363795264 is an apocalyptic number.

21363795264 is a gapful number since it is divisible by the number (24) 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 21363795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34627360768).

21363795264 is an abundant number, since it is smaller than the sum of its proper divisors (47890926272).

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

21363795264 is a wasteful number, since it uses less digits than its factorization.

21363795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 21363795264 in words is "twenty-one billion, three hundred sixty-three million, seven hundred ninety-five thousand, two hundred sixty-four".