26984425148800 has 192 divisors, whose sum is σ = 80664157743840. Its totient is φ = 8707579084800.

The previous prime is 26984425148741. The next prime is 26984425148833. The reversal of 26984425148800 is 884152448962.

It is a happy number.

It is a super-2 number, since 2×26984425148800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35050431 + ... + 35812030.

Almost surely, 2^{26984425148800} is an apocalyptic number.

26984425148800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26984425148800 is an abundant number, since it is smaller than the sum of its proper divisors (53679732595040).

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

26984425148800 is a wasteful number, since it uses less digits than its factorization.

26984425148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70862509 (or 70862492 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 61.

The spelling of 26984425148800 in words is "twenty-six trillion, nine hundred eighty-four billion, four hundred twenty-five million, one hundred forty-eight thousand, eight hundred".