26070275085840 has 640 divisors, whose sum is σ = 99160796160000. Its totient is φ = 6269480663040.

The previous prime is 26070275085797. The next prime is 26070275085851. The reversal of 26070275085840 is 4858057207062.

26070275085840 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 0 + 2 + 7 + 50 + 8 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84347101 + ... + 84655619.

It is an arithmetic number, because the mean of its divisors is an integer number (154938744000).

Almost surely, 2^{26070275085840} is an apocalyptic number.

26070275085840 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 26070275085840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49580398080000).

26070275085840 is an abundant number, since it is smaller than the sum of its proper divisors (73090521074160).

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

26070275085840 is a wasteful number, since it uses less digits than its factorization.

26070275085840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308660 (or 308648 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 26070275085840 in words is "twenty-six trillion, seventy billion, two hundred seventy-five million, eighty-five thousand, eight hundred forty".