21262716639360 has 3200 divisors, whose sum is σ = 96159750667200. Its totient is φ = 4479818047488.

The previous prime is 21262716639299. The next prime is 21262716639361. The reversal of 21262716639360 is 6393661726212.

21262716639360 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 271 + 6 + 6 + 3 + 9 + 360 = 666.

It is a super-2 number, since 2×21262716639360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21262716639297 and 21262716639306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21262716639361) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 574668017262 + ... + 574668017298.

Almost surely, 2^{21262716639360} is an apocalyptic number.

21262716639360 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 21262716639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48079875333600).

21262716639360 is an abundant number, since it is smaller than the sum of its proper divisors (74897034027840).

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

21262716639360 is an frugal number, since it uses more digits than its factorization.

21262716639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 21262716639360 in words is "twenty-one trillion, two hundred sixty-two billion, seven hundred sixteen million, six hundred thirty-nine thousand, three hundred sixty".