1070225327808 has 784 divisors, whose sum is σ = 4125507339520. Its totient is φ = 267381430272.

The previous prime is 1070225327807. The next prime is 1070225327813. The reversal of 1070225327808 is 8087235220701.

1070225327808 is a `hidden beast` number, since 10 + 7 + 0 + 22 + 532 + 7 + 80 + 8 = 666.

It is a super-2 number, since 2×1070225327808² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1070225327807) 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 111 ways as a sum of consecutive naturals, for example, 80661591 + ... + 80674857.

Almost surely, 2^{1070225327808} is an apocalyptic number.

1070225327808 is a gapful number since it is divisible by the number (18) 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 1070225327808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062753669760).

1070225327808 is an abundant number, since it is smaller than the sum of its proper divisors (3055282011712).

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

1070225327808 is a wasteful number, since it uses less digits than its factorization.

1070225327808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13336 (or 13311 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1070225327808 in words is "one trillion, seventy billion, two hundred twenty-five million, three hundred twenty-seven thousand, eight hundred eight".