26312364842400 has 5184 divisors, whose sum is σ = 132337834836480. Its totient is φ = 5033174630400.

The previous prime is 26312364842389. The next prime is 26312364842441. The reversal of 26312364842400 is 424846321362.

26312364842400 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 236 + 4 + 8 + 4 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 61049570185 + ... + 61049570615.

It is an arithmetic number, because the mean of its divisors is an integer number (25528131720).

Almost surely, 2^{26312364842400} is an apocalyptic number.

26312364842400 is a gapful number since it is divisible by the number (20) 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 26312364842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66168917418240).

26312364842400 is an abundant number, since it is smaller than the sum of its proper divisors (106025469994080).

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

26312364842400 is a wasteful number, since it uses less digits than its factorization.

26312364842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 26312364842400 in words is "twenty-six trillion, three hundred twelve billion, three hundred sixty-four million, eight hundred forty-two thousand, four hundred".