26678862144 has 672 divisors, whose sum is σ = 93975448320. Its totient is φ = 7196344320.

The previous prime is 26678862107. The next prime is 26678862157. The reversal of 26678862144 is 44126887662.

It is a happy number.

26678862144 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 8 + 8 + 621 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299762452 + ... + 299762540.

Almost surely, 2^26678862144 is an apocalyptic number.

26678862144 is a gapful number since it is divisible by the number (24) 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 26678862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46987724160).

26678862144 is an abundant number, since it is smaller than the sum of its proper divisors (67296586176).

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

26678862144 is a wasteful number, since it uses less digits than its factorization.

26678862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 145 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 26678862144 in words is "twenty-six billion, six hundred seventy-eight million, eight hundred sixty-two thousand, one hundred forty-four".