21706007459136 has 672 divisors, whose sum is σ = 78580172909952. Its totient is φ = 5198020853760.

The previous prime is 21706007459083. The next prime is 21706007459141. The reversal of 21706007459136 is 63195470060712.

It is a tau number, because it is divible by the number of its divisors (672).

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, 1179857490 + ... + 1179875886.

It is an arithmetic number, because the mean of its divisors is an integer number (116934781116).

Almost surely, 2^{21706007459136} is an apocalyptic number.

21706007459136 is a gapful number since it is divisible by the number (26) 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 21706007459136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39290086454976).

21706007459136 is an abundant number, since it is smaller than the sum of its proper divisors (56874165450816).

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

21706007459136 is a wasteful number, since it uses less digits than its factorization.

21706007459136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19327 (or 19310 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 21706007459136 in words is "twenty-one trillion, seven hundred six billion, seven million, four hundred fifty-nine thousand, one hundred thirty-six".