26957869626240 has 192 divisors, whose sum is σ = 106387307076960. Its totient is φ = 6161798762496.

The previous prime is 26957869626227. The next prime is 26957869626283. The reversal of 26957869626240 is 4262696875962.

26957869626240 is a `hidden beast` number, since 2 + 6 + 9 + 578 + 6 + 9 + 6 + 2 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334258659 + ... + 334339298.

Almost surely, 2^{26957869626240} is an apocalyptic number.

26957869626240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26957869626240 is an abundant number, since it is smaller than the sum of its proper divisors (79429437450720).

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

26957869626240 is a wasteful number, since it uses less digits than its factorization.

26957869626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668597989 (or 668597974 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 26957869626240 in words is "twenty-six trillion, nine hundred fifty-seven billion, eight hundred sixty-nine million, six hundred twenty-six thousand, two hundred forty".