26664226064400 has 120 divisors (see below), whose sum is σ = 85432794674400. Its totient is φ = 7108929336320.

The previous prime is 26664226064387. The next prime is 26664226064419. The reversal of 26664226064400 is 446062246662.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×26664226064400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26664226064400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3189019 + ... + 7968581.

It is an arithmetic number, because the mean of its divisors is an integer number (711939955620).

Almost surely, 2^{26664226064400} is an apocalyptic number.

26664226064400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26664226064400 is an abundant number, since it is smaller than the sum of its proper divisors (58768568610000).

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

26664226064400 is a wasteful number, since it uses less digits than its factorization.

26664226064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784233 (or 4784222 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 26664226064400 in words is "twenty-six trillion, six hundred sixty-four billion, two hundred twenty-six million, sixty-four thousand, four hundred".