26187667374960 has 1280 divisors, whose sum is σ = 112953770496000. Its totient is φ = 5429522202624.

The previous prime is 26187667374949. The next prime is 26187667374983. The reversal of 26187667374960 is 6947376678162.

26187667374960 is a `hidden beast` number, since 2 + 6 + 1 + 8 + 7 + 66 + 73 + 7 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4060729816 + ... + 4060736264.

It is an arithmetic number, because the mean of its divisors is an integer number (88245133200).

Almost surely, 2^{26187667374960} is an apocalyptic number.

26187667374960 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 26187667374960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56476885248000).

26187667374960 is an abundant number, since it is smaller than the sum of its proper divisors (86766103121040).

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

26187667374960 is a wasteful number, since it uses less digits than its factorization.

26187667374960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847 (or 6835 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 26187667374960 in words is "twenty-six trillion, one hundred eighty-seven billion, six hundred sixty-seven million, three hundred seventy-four thousand, nine hundred sixty".