26802946946952 has 160 divisors (see below), whose sum is σ = 86715416985120. Its totient is φ = 7644334210560.

The previous prime is 26802946946933. The next prime is 26802946946953. The reversal of 26802946946952 is 25964964920862.

26802946946952 is a `hidden beast` number, since 2 + 6 + 80 + 29 + 4 + 69 + 469 + 5 + 2 = 666.

It is a super-2 number, since 2×26802946946952² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (26802946946953) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 110473938 + ... + 110716289.

It is an arithmetic number, because the mean of its divisors is an integer number (541971356157).

Almost surely, 2^{26802946946952} is an apocalyptic number.

26802946946952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

26802946946952 is an abundant number, since it is smaller than the sum of its proper divisors (59912470038168).

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

26802946946952 is a wasteful number, since it uses less digits than its factorization.

26802946946952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221190273 (or 221190260 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 26802946946952 in words is "twenty-six trillion, eight hundred two billion, nine hundred forty-six million, nine hundred forty-six thousand, nine hundred fifty-two".