26195719904640 has 3584 divisors, whose sum is σ = 118077694479360. Its totient is φ = 5462917447680.

The previous prime is 26195719904621. The next prime is 26195719904659. The reversal of 26195719904640 is 4640991759162.

26195719904640 is a `hidden beast` number, since 2 + 6 + 19 + 5 + 71 + 9 + 90 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26195719904621) and next prime (26195719904659).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 65984180922 + ... + 65984181318.

It is an arithmetic number, because the mean of its divisors is an integer number (32945785290).

Almost surely, 2^{26195719904640} is an apocalyptic number.

26195719904640 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 26195719904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59038847239680).

26195719904640 is an abundant number, since it is smaller than the sum of its proper divisors (91881974574720).

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

26195719904640 is a wasteful number, since it uses less digits than its factorization.

26195719904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 26195719904640 in words is "twenty-six trillion, one hundred ninety-five billion, seven hundred nineteen million, nine hundred four thousand, six hundred forty".