26570906197632 has 384 divisors, whose sum is σ = 79181130188160. Its totient is φ = 8546047451136.

The previous prime is 26570906197631. The next prime is 26570906197657. The reversal of 26570906197632 is 23679160907562.

26570906197632 is a `hidden beast` number, since 2 + 6 + 5 + 7 + 0 + 9 + 0 + 619 + 7 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 26570906197632.

It is not an unprimeable number, because it can be changed into a prime (26570906197631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3383531818 + ... + 3383539670.

It is an arithmetic number, because the mean of its divisors is an integer number (206200859865).

Almost surely, 2^{26570906197632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26570906197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39590565094080).

26570906197632 is an abundant number, since it is smaller than the sum of its proper divisors (52610223990528).

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

26570906197632 is a wasteful number, since it uses less digits than its factorization.

26570906197632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8560 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 26570906197632 in words is "twenty-six trillion, five hundred seventy billion, nine hundred six million, one hundred ninety-seven thousand, six hundred thirty-two".