21964771504260 has 288 divisors, whose sum is σ = 74293940579040. Its totient is φ = 5215480897536.

The previous prime is 21964771504229. The next prime is 21964771504261. The reversal of 21964771504260 is 6240517746912.

21964771504260 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 4 + 7 + 71 + 504 + 2 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4221249666624 + 17743521837636 = 2054568^2 + 4212306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21964771504197 and 21964771504206.

It is not an unprimeable number, because it can be changed into a prime (21964771504261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74022912 + ... + 74319048.

It is an arithmetic number, because the mean of its divisors is an integer number (257965071455).

Almost surely, 2^{21964771504260} is an apocalyptic number.

21964771504260 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 21964771504260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37146970289520).

21964771504260 is an abundant number, since it is smaller than the sum of its proper divisors (52329169074780).

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

21964771504260 is a wasteful number, since it uses less digits than its factorization.

21964771504260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297287 (or 297282 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 21964771504260 in words is "twenty-one trillion, nine hundred sixty-four billion, seven hundred seventy-one million, five hundred four thousand, two hundred sixty".