26913142080 has 448 divisors, whose sum is σ = 104168448000. Its totient is φ = 6487050240.

The previous prime is 26913142037. The next prime is 26913142117. The reversal of 26913142080 is 8024131962.

26913142080 is a `hidden beast` number, since 26 + 9 + 131 + 420 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18912249 + ... + 18913671.

Almost surely, 2^26913142080 is an apocalyptic number.

26913142080 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 26913142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52084224000).

26913142080 is an abundant number, since it is smaller than the sum of its proper divisors (77255305920).

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

26913142080 is a wasteful number, since it uses less digits than its factorization.

26913142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 26913142080 in words is "twenty-six billion, nine hundred thirteen million, one hundred forty-two thousand, eighty".