26200355260128 has 48 divisors (see below), whose sum is σ = 78601065782400. Its totient is φ = 7485815788416.

The previous prime is 26200355260087. The next prime is 26200355260153. The reversal of 26200355260128 is 82106255300262.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 26200355260128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19494311278 + ... + 19494312621.

It is an arithmetic number, because the mean of its divisors is an integer number (1637522203800).

Almost surely, 2^{26200355260128} is an apocalyptic number.

26200355260128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26200355260128 is an abundant number, since it is smaller than the sum of its proper divisors (52400710522272).

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

26200355260128 is a wasteful number, since it uses less digits than its factorization.

26200355260128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38988623919 (or 38988623911 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 26200355260128 in words is "twenty-six trillion, two hundred billion, three hundred fifty-five million, two hundred sixty thousand, one hundred twenty-eight".