26677938000 has 640 divisors, whose sum is σ = 104810434560. Its totient is φ = 5702400000.

The previous prime is 26677937999. The next prime is 26677938037. The reversal of 26677938000 is 83977662.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80597835 + ... + 80598165.

It is an arithmetic number, because the mean of its divisors is an integer number (163766304).

Almost surely, 2^26677938000 is an apocalyptic number.

26677938000 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 26677938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52405217280).

26677938000 is an abundant number, since it is smaller than the sum of its proper divisors (78132496560).

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

26677938000 is a wasteful number, since it uses less digits than its factorization.

26677938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 26677938000 in words is "twenty-six billion, six hundred seventy-seven million, nine hundred thirty-eight thousand".