26862868032 has 896 divisors, whose sum is σ = 102248939520. Its totient is φ = 5997404160.

The previous prime is 26862867961. The next prime is 26862868033. The reversal of 26862868032 is 23086826862.

It is a super-2 number, since 2×26862868032² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (26862868033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260804493 + ... + 260804595.

It is an arithmetic number, because the mean of its divisors is an integer number (114117120).

Almost surely, 2^26862868032 is an apocalyptic number.

26862868032 is a gapful number since it is divisible by the number (22) 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 26862868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51124469760).

26862868032 is an abundant number, since it is smaller than the sum of its proper divisors (75386071488).

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

26862868032 is a wasteful number, since it uses less digits than its factorization.

26862868032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 26862868032 in words is "twenty-six billion, eight hundred sixty-two million, eight hundred sixty-eight thousand, thirty-two".