26942842080 has 1920 divisors, whose sum is σ = 131725440000. Its totient is φ = 5120962560.

The previous prime is 26942842067. The next prime is 26942842177. The reversal of 26942842080 is 8024824962.

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 319 ways as a sum of consecutive naturals, for example, 929063506 + ... + 929063534.

It is an arithmetic number, because the mean of its divisors is an integer number (68607000).

Almost surely, 2^26942842080 is an apocalyptic number.

26942842080 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 26942842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862720000).

26942842080 is an abundant number, since it is smaller than the sum of its proper divisors (104782597920).

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

26942842080 is a wasteful number, since it uses less digits than its factorization.

26942842080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 26942842080 in words is "twenty-six billion, nine hundred forty-two million, eight hundred forty-two thousand, eighty".