26878685400 has 432 divisors, whose sum is σ = 105616063800. Its totient is φ = 6107996160.

The previous prime is 26878685387. The next prime is 26878685417. The reversal of 26878685400 is 458687862.

26878685400 is a `hidden beast` number, since 2 + 6 + 87 + 86 + 85 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17021811 + ... + 17023389.

Almost surely, 2^26878685400 is an apocalyptic number.

26878685400 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 26878685400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52808031900).

26878685400 is an abundant number, since it is smaller than the sum of its proper divisors (78737378400).

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

26878685400 is a wasteful number, since it uses less digits than its factorization.

26878685400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 26878685400 in words is "twenty-six billion, eight hundred seventy-eight million, six hundred eighty-five thousand, four hundred".