26930585626560 has 3360 divisors, whose sum is σ = 129684222581760. Its totient is φ = 5173290270720.

The previous prime is 26930585626523. The next prime is 26930585626579. The reversal of 26930585626560 is 6562658503962.

26930585626560 is a `hidden beast` number, since 2 + 6 + 9 + 3 + 0 + 5 + 8 + 5 + 62 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 22020102109 + ... + 22020103331.

It is an arithmetic number, because the mean of its divisors is an integer number (38596494816).

Almost surely, 2^{26930585626560} is an apocalyptic number.

26930585626560 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 26930585626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64842111290880).

26930585626560 is an abundant number, since it is smaller than the sum of its proper divisors (102753636955200).

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

26930585626560 is a wasteful number, since it uses less digits than its factorization.

26930585626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 26930585626560 in words is "twenty-six trillion, nine hundred thirty billion, five hundred eighty-five million, six hundred twenty-six thousand, five hundred sixty".