21260067840 has 1056 divisors, whose sum is σ = 87817282560. Its totient is φ = 4866048000.

The previous prime is 21260067797. The next prime is 21260067887. The reversal of 21260067840 is 4876006212.

21260067840 is a `hidden beast` number, since 2 + 1 + 2 + 600 + 6 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×21260067840² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21260067795 and 21260067804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518538220 + ... + 518538260.

Almost surely, 2^21260067840 is an apocalyptic number.

21260067840 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 21260067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908641280).

21260067840 is an abundant number, since it is smaller than the sum of its proper divisors (66557214720).

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

21260067840 is a wasteful number, since it uses less digits than its factorization.

21260067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21260067840 in words is "twenty-one billion, two hundred sixty million, sixty-seven thousand, eight hundred forty".