26887655058264 has 768 divisors, whose sum is σ = 101494551674880. Its totient is φ = 6440231877120.

The previous prime is 26887655058247. The next prime is 26887655058281. The reversal of 26887655058264 is 46285055678862.

26887655058264 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 7 + 6 + 550 + 5 + 8 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (26887655058247) and next prime (26887655058281).

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 = 26887655058192 and 26887655058201.

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 191 ways as a sum of consecutive naturals, for example, 2146369969 + ... + 2146382495.

It is an arithmetic number, because the mean of its divisors is an integer number (132154364160).

Almost surely, 2^{26887655058264} is an apocalyptic number.

26887655058264 is a gapful number since it is divisible by the number (24) 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 26887655058264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50747275837440).

26887655058264 is an abundant number, since it is smaller than the sum of its proper divisors (74606896616616).

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

26887655058264 is a wasteful number, since it uses less digits than its factorization.

26887655058264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13682 (or 13666 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 72.

The spelling of 26887655058264 in words is "twenty-six trillion, eight hundred eighty-seven billion, six hundred fifty-five million, fifty-eight thousand, two hundred sixty-four".