26061627964680 has 2304 divisors, whose sum is σ = 116500053196800. Its totient is φ = 4932005760000.

The previous prime is 26061627964679. The next prime is 26061627964681. The reversal of 26061627964680 is 8646972616062.

26061627964680 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 162 + 7 + 9 + 6 + 468 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26061627964679) and next prime (26061627964681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26061627964681) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 172593562605 + ... + 172593562755.

It is an arithmetic number, because the mean of its divisors is an integer number (50564259200).

Almost surely, 2^{26061627964680} is an apocalyptic number.

26061627964680 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 26061627964680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58250026598400).

26061627964680 is an abundant number, since it is smaller than the sum of its proper divisors (90438425232120).

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

26061627964680 is a wasteful number, since it uses less digits than its factorization.

26061627964680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 26061627964680 in words is "twenty-six trillion, sixty-one billion, six hundred twenty-seven million, nine hundred sixty-four thousand, six hundred eighty".