26642145995010 has 288 divisors, whose sum is σ = 90765853776000. Its totient is φ = 5290540849152.

The previous prime is 26642145994969. The next prime is 26642145995011. The reversal of 26642145995010 is 1059954124662.

It is a happy number.

26642145995010 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 2 + 1 + 45 + 99 + 501 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (26642145995011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5549760 + ... + 9169739.

It is an arithmetic number, because the mean of its divisors is an integer number (315159214500).

Almost surely, 2^{26642145995010} is an apocalyptic number.

26642145995010 is an abundant number, since it is smaller than the sum of its proper divisors (64123707780990).

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

26642145995010 is a wasteful number, since it uses less digits than its factorization.

26642145995010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14719562 (or 14719546 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 26642145995010 in words is "twenty-six trillion, six hundred forty-two billion, one hundred forty-five million, nine hundred ninety-five thousand, ten".