26461207567872 has 560 divisors, whose sum is σ = 98830034151552. Its totient is φ = 6873033461760.

The previous prime is 26461207567871. The next prime is 26461207567889. The reversal of 26461207567872 is 27876570216462.

26461207567872 is a `hidden beast` number, since 2 + 6 + 4 + 61 + 2 + 0 + 7 + 567 + 8 + 7 + 2 = 666.

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 (26461207567871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28279743 + ... + 29200449.

Almost surely, 2^{26461207567872} is an apocalyptic number.

26461207567872 is a gapful number since it is divisible by the number (22) 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 26461207567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49415017075776).

26461207567872 is an abundant number, since it is smaller than the sum of its proper divisors (72368826583680).

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

26461207567872 is an frugal number, since it uses more digits than its factorization.

26461207567872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920761 (or 920730 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 26461207567872 in words is "twenty-six trillion, four hundred sixty-one billion, two hundred seven million, five hundred sixty-seven thousand, eight hundred seventy-two".