26169003396864 has 576 divisors, whose sum is σ = 86342288256000. Its totient is φ = 7769556910080.

The previous prime is 26169003396857. The next prime is 26169003396917. The reversal of 26169003396864 is 46869330096162.

It is a happy number.

26169003396864 is a `hidden beast` number, since 2 + 6 + 169 + 0 + 0 + 3 + 396 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2301780172 + ... + 2301791540.

It is an arithmetic number, because the mean of its divisors is an integer number (149899806000).

Almost surely, 2^{26169003396864} is an apocalyptic number.

26169003396864 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 26169003396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43171144128000).

26169003396864 is an abundant number, since it is smaller than the sum of its proper divisors (60173284859136).

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

26169003396864 is a wasteful number, since it uses less digits than its factorization.

26169003396864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12461 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 26169003396864 in words is "twenty-six trillion, one hundred sixty-nine billion, three million, three hundred ninety-six thousand, eight hundred sixty-four".