26187006976 has 99 divisors (see below), whose sum is σ = 56831092311. Its totient is φ = 12055240704.

The previous prime is 26187006961. The next prime is 26187007003. The reversal of 26187006976 is 67960078162.

It is a happy number.

The square root of 26187006976 is 161824.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10064102400 + 16122904576 = 100320^2 + 126976^2 .

It is a super-2 number, since 2×26187006976² (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67318590 + ... + 67318978.

Almost surely, 2^26187006976 is an apocalyptic number.

26187006976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

26187006976 is the 161824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26187006976

26187006976 is an abundant number, since it is smaller than the sum of its proper divisors (30644085335).

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

26187006976 is an frugal number, since it uses more digits than its factorization.

26187006976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 26187006976 in words is "twenty-six billion, one hundred eighty-seven million, six thousand, nine hundred seventy-six".