26401880252176 has 225 divisors, whose sum is σ = 61000406719539. Its totient is φ = 11061680572800.

The previous prime is 26401880252171. The next prime is 26401880252183. The reversal of 26401880252176 is 67125208810462.

The square root of 26401880252176 is 5138276.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 13090473941776 + 13311406310400 = 3618076^2 + 3648480^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26401880252171) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38208219991 + ... + 38208220681.

Almost surely, 2^{26401880252176} is an apocalyptic number.

26401880252176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

26401880252176 is the 5138276-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26401880252176

26401880252176 is an abundant number, since it is smaller than the sum of its proper divisors (34598526467363).

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

26401880252176 is an frugal number, since it uses more digits than its factorization.

26401880252176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 26401880252176 in words is "twenty-six trillion, four hundred one billion, eight hundred eighty million, two hundred fifty-two thousand, one hundred seventy-six".