21526041240816 has 320 divisors, whose sum is σ = 68500272844800. Its totient is φ = 5684729868288.

The previous prime is 21526041240779. The next prime is 21526041240853. The reversal of 21526041240816 is 61804214062512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21526041240779) and next prime (21526041240853).

It is a super-2 number, since 2×21526041240816² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343379811 + ... + 343442493.

It is an arithmetic number, because the mean of its divisors is an integer number (214063352640).

Almost surely, 2^{21526041240816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21526041240816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34250136422400).

21526041240816 is an abundant number, since it is smaller than the sum of its proper divisors (46974231603984).

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

21526041240816 is a wasteful number, since it uses less digits than its factorization.

21526041240816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63796 (or 63790 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 21526041240816 in words is "twenty-one trillion, five hundred twenty-six billion, forty-one million, two hundred forty thousand, eight hundred sixteen".