26019130419200 has 144 divisors (see below), whose sum is σ = 67907044296000. Its totient is φ = 9859880632320.

The previous prime is 26019130419197. The next prime is 26019130419209. The reversal of 26019130419200 is 291403191062.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (26019130419209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12400520 + ... + 14346119.

It is an arithmetic number, because the mean of its divisors is an integer number (471576696500).

Almost surely, 2^{26019130419200} is an apocalyptic number.

26019130419200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26019130419200 is an abundant number, since it is smaller than the sum of its proper divisors (41887913876800).

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

26019130419200 is a wasteful number, since it uses less digits than its factorization.

26019130419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26746690 (or 26746665 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 26019130419200 in words is "twenty-six trillion, nineteen billion, one hundred thirty million, four hundred nineteen thousand, two hundred".