26198101003200 has 168 divisors, whose sum is σ = 98230403601792. Its totient is φ = 5988137364480.

The previous prime is 26198101003141. The next prime is 26198101003213. The reversal of 26198101003200 is 230010189162.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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, 389819094 + ... + 389886293.

It is an arithmetic number, because the mean of its divisors is an integer number (584704783344).

Almost surely, 2^{26198101003200} is an apocalyptic number.

26198101003200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26198101003200 is an abundant number, since it is smaller than the sum of its proper divisors (72032302598592).

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

26198101003200 is a wasteful number, since it uses less digits than its factorization.

26198101003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779705419 (or 779705404 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 26198101003200 in words is "twenty-six trillion, one hundred ninety-eight billion, one hundred one million, three thousand, two hundred".