26798402292480 has 9216 divisors, whose sum is σ = 144310350643200. Its totient is φ = 4540606709760.

The previous prime is 26798402292451. The next prime is 26798402292481. The reversal of 26798402292480 is 8429220489762.

26798402292480 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 8 + 40 + 22 + 92 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (26798402292481) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 724281143022 + ... + 724281143058.

It is an arithmetic number, because the mean of its divisors is an integer number (15658675200).

Almost surely, 2^{26798402292480} is an apocalyptic number.

26798402292480 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 26798402292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72155175321600).

26798402292480 is an abundant number, since it is smaller than the sum of its proper divisors (117511948350720).

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

26798402292480 is a wasteful number, since it uses less digits than its factorization.

26798402292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 26798402292480 in words is "twenty-six trillion, seven hundred ninety-eight billion, four hundred two million, two hundred ninety-two thousand, four hundred eighty".