26845734000852 has 384 divisors, whose sum is σ = 78577286860800. Its totient is φ = 7864353649152.

The previous prime is 26845734000823. The next prime is 26845734000871. The reversal of 26845734000852 is 25800043754862.

26845734000852 is a `hidden beast` number, since 2 + 68 + 4 + 573 + 4 + 0 + 0 + 0 + 8 + 5 + 2 = 666.

It is a super-2 number, since 2×26845734000852² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6871186683 + ... + 6871190589.

It is an arithmetic number, because the mean of its divisors is an integer number (204628351200).

Almost surely, 2^{26845734000852} 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 26845734000852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39288643430400).

26845734000852 is an abundant number, since it is smaller than the sum of its proper divisors (51731552859948).

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

26845734000852 is a wasteful number, since it uses less digits than its factorization.

26845734000852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 26845734000852 in words is "twenty-six trillion, eight hundred forty-five billion, seven hundred thirty-four million, eight hundred fifty-two", and thus it is an aban number.