26938656000 has 720 divisors, whose sum is σ = 105716170560. Its totient is φ = 6793113600.

The previous prime is 26938655987. The next prime is 26938656011. The reversal of 26938656000 is 65683962.

It is a happy number.

26938656000 is a `hidden beast` number, since 2 + 6 + 9 + 3 + 86 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49247727 + ... + 49248273.

Almost surely, 2^26938656000 is an apocalyptic number.

26938656000 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 26938656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52858085280).

26938656000 is an abundant number, since it is smaller than the sum of its proper divisors (78777514560).

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

26938656000 is an equidigital number, since it uses as much as digits as its factorization.

26938656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 26938656000 in words is "twenty-six billion, nine hundred thirty-eight million, six hundred fifty-six thousand".