26278668000 has 960 divisors, whose sum is σ = 110280538368. Its totient is φ = 6071500800.

The previous prime is 26278667971. The next prime is 26278668011. The reversal of 26278668000 is 86687262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71603817 + ... + 71604183.

Almost surely, 2^26278668000 is an apocalyptic number.

26278668000 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 26278668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55140269184).

26278668000 is an abundant number, since it is smaller than the sum of its proper divisors (84001870368).

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

26278668000 is a wasteful number, since it uses less digits than its factorization.

26278668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26278668000 in words is "twenty-six billion, two hundred seventy-eight million, six hundred sixty-eight thousand".