26213709816 has 192 divisors, whose sum is σ = 83404339200. Its totient is φ = 7281676800.

The previous prime is 26213709787. The next prime is 26213709817. The reversal of 26213709816 is 61890731262.

26213709816 is a `hidden beast` number, since 2 + 621 + 3 + 7 + 0 + 9 + 8 + 16 = 666.

It is a super-3 number, since 3×26213709816³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26213709817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6424465 + ... + 6428543.

It is an arithmetic number, because the mean of its divisors is an integer number (434397600).

Almost surely, 2^26213709816 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 26213709816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41702169600).

26213709816 is an abundant number, since it is smaller than the sum of its proper divisors (57190629384).

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

26213709816 is a wasteful number, since it uses less digits than its factorization.

26213709816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 26213709816 in words is "twenty-six billion, two hundred thirteen million, seven hundred nine thousand, eight hundred sixteen".