26420134003200 has 5760 divisors, whose sum is σ = 129205398896640. Its totient is φ = 5161903718400.

The previous prime is 26420134003187. The next prime is 26420134003261. The reversal of 26420134003200 is 230043102462.

26420134003200 is a `hidden beast` number, since 2 + 6 + 42 + 0 + 13 + 400 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×26420134003200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 498493094374 + ... + 498493094426.

It is an arithmetic number, because the mean of its divisors is an integer number (22431492864).

Almost surely, 2^{26420134003200} is an apocalyptic number.

26420134003200 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 26420134003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64602699448320).

26420134003200 is an abundant number, since it is smaller than the sum of its proper divisors (102785264893440).

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

26420134003200 is a wasteful number, since it uses less digits than its factorization.

26420134003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 26420134003200 its reverse (230043102462), we get a palindrome (26650177105662).

The spelling of 26420134003200 in words is "twenty-six trillion, four hundred twenty billion, one hundred thirty-four million, three thousand, two hundred".