26936269143680 has 256 divisors, whose sum is σ = 70880980262400. Its totient is φ = 9726179377152.

The previous prime is 26936269143671. The next prime is 26936269143697. The reversal of 26936269143680 is 8634196263962.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492292004 + ... + 492346716.

It is an arithmetic number, because the mean of its divisors is an integer number (276878829150).

Almost surely, 2^{26936269143680} is an apocalyptic number.

26936269143680 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 26936269143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35440490131200).

26936269143680 is an abundant number, since it is smaller than the sum of its proper divisors (43944711118720).

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

26936269143680 is a wasteful number, since it uses less digits than its factorization.

26936269143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56051 (or 56039 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 65.

The spelling of 26936269143680 in words is "twenty-six trillion, nine hundred thirty-six billion, two hundred sixty-nine million, one hundred forty-three thousand, six hundred eighty".