26921868856900 has 144 divisors (see below), whose sum is σ = 59114330329600. Its totient is φ = 10641700892160.

The previous prime is 26921868856871. The next prime is 26921868856903. The reversal of 26921868856900 is 965886812962.

It is a happy number.

It is a super-2 number, since 2×26921868856900² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26921868856900.

It is not an unprimeable number, because it can be changed into a prime (26921868856903) 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, 3735513097 + ... + 3735520303.

Almost surely, 2^{26921868856900} is an apocalyptic number.

26921868856900 is a gapful number since it is divisible by the number (20) 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 26921868856900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29557165164800).

26921868856900 is an abundant number, since it is smaller than the sum of its proper divisors (32192461472700).

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

26921868856900 is a wasteful number, since it uses less digits than its factorization.

26921868856900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8646 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 70.

The spelling of 26921868856900 in words is "twenty-six trillion, nine hundred twenty-one billion, eight hundred sixty-eight million, eight hundred fifty-six thousand, nine hundred".