26961280320 has 448 divisors, whose sum is σ = 95891152896. Its totient is φ = 6373416960.

The previous prime is 26961280319. The next prime is 26961280337. The reversal of 26961280320 is 2308216962.

It is a happy number.

It is a hoax number, since the sum of its digits (39) 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 (39).

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, 87821607 + ... + 87821913.

It is an arithmetic number, because the mean of its divisors is an integer number (214042752).

Almost surely, 2^26961280320 is an apocalyptic number.

26961280320 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 26961280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47945576448).

26961280320 is an abundant number, since it is smaller than the sum of its proper divisors (68929872576).

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

26961280320 is a wasteful number, since it uses less digits than its factorization.

26961280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 26961280320 in words is "twenty-six billion, nine hundred sixty-one million, two hundred eighty thousand, three hundred twenty".