26172982080 has 336 divisors, whose sum is σ = 104576294784. Its totient is φ = 5884047360.

The previous prime is 26172982061. The next prime is 26172982081. The reversal of 26172982080 is 8028927162.

26172982080 is a `hidden beast` number, since 2 + 617 + 2 + 9 + 8 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×26172982080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26172982081) 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, 1219119 + ... + 1240401.

Almost surely, 2^26172982080 is an apocalyptic number.

26172982080 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 26172982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52288147392).

26172982080 is an abundant number, since it is smaller than the sum of its proper divisors (78403312704).

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

26172982080 is a wasteful number, since it uses less digits than its factorization.

26172982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21374 (or 21361 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 26172982080 in words is "twenty-six billion, one hundred seventy-two million, nine hundred eighty-two thousand, eighty".