26916678000 has 640 divisors, whose sum is σ = 103413024000. Its totient is φ = 6668697600.

The previous prime is 26916677999. The next prime is 26916678001. The reversal of 26916678000 is 87661962.

It is an interprime number because it is at equal distance from previous prime (26916677999) and next prime (26916678001).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26916678001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100061866 + ... + 100062134.

It is an arithmetic number, because the mean of its divisors is an integer number (161582850).

Almost surely, 2^26916678000 is an apocalyptic number.

26916678000 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 26916678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51706512000).

26916678000 is an abundant number, since it is smaller than the sum of its proper divisors (76496346000).

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

26916678000 is a wasteful number, since it uses less digits than its factorization.

26916678000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 26916678000 in words is "twenty-six billion, nine hundred sixteen million, six hundred seventy-eight thousand".