26055142713600 has 3456 divisors, whose sum is σ = 119736669696000. Its totient is φ = 4916124057600.

The previous prime is 26055142713533. The next prime is 26055142713617. The reversal of 26055142713600 is 631724155062.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68747078211 + ... + 68747078589.

Almost surely, 2^{26055142713600} is an apocalyptic number.

26055142713600 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 26055142713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59868334848000).

26055142713600 is an abundant number, since it is smaller than the sum of its proper divisors (93681526982400).

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

26055142713600 is a wasteful number, since it uses less digits than its factorization.

26055142713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

Adding to 26055142713600 its reverse (631724155062), we get a palindrome (26686866868662).

The spelling of 26055142713600 in words is "twenty-six trillion, fifty-five billion, one hundred forty-two million, seven hundred thirteen thousand, six hundred".