26957418439680 has 132 divisors (see below), whose sum is σ = 93406753037052. Its totient is φ = 7188644904960.

The previous prime is 26957418439673. The next prime is 26957418439703. The reversal of 26957418439680 is 8693481475962.

26957418439680 is a `hidden beast` number, since 2 + 6 + 9 + 5 + 7 + 418 + 43 + 96 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17205638529024 + 9751779910656 = 4147968^2 + 3122784^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 26957418439599 and 26957418439608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292460631 + ... + 292552790.

It is a 1-persistent number, because it is pandigital, but 2⋅26957418439680 = 53914836879360 is not.

Almost surely, 2^{26957418439680} is an apocalyptic number.

26957418439680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26957418439680 is an abundant number, since it is smaller than the sum of its proper divisors (66449334597372).

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

26957418439680 is a wasteful number, since it uses less digits than its factorization.

26957418439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585013452 (or 585013431 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 26957418439680 in words is "twenty-six trillion, nine hundred fifty-seven billion, four hundred eighteen million, four hundred thirty-nine thousand, six hundred eighty".