26952395394672 has 240 divisors, whose sum is σ = 87491429475840. Its totient is φ = 7654792857600.

The previous prime is 26952395394637. The next prime is 26952395394677. The reversal of 26952395394672 is 27649359325962.

26952395394672 is a `hidden beast` number, since 2 + 6 + 9 + 5 + 23 + 9 + 539 + 4 + 67 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26952395394672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26952395394677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4341847 + ... + 8529737.

It is an arithmetic number, because the mean of its divisors is an integer number (364547622816).

Almost surely, 2^{26952395394672} is an apocalyptic number.

26952395394672 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 26952395394672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43745714737920).

26952395394672 is an abundant number, since it is smaller than the sum of its proper divisors (60539034081168).

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

26952395394672 is a wasteful number, since it uses less digits than its factorization.

26952395394672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188172 (or 4188163 counting only the distinct ones).

The product of its digits is 1322697600, while the sum is 72.

The spelling of 26952395394672 in words is "twenty-six trillion, nine hundred fifty-two billion, three hundred ninety-five million, three hundred ninety-four thousand, six hundred seventy-two".