1070090751872 has 384 divisors, whose sum is σ = 2564075347200. Its totient is φ = 441228902400.

The previous prime is 1070090751857. The next prime is 1070090751883. The reversal of 1070090751872 is 2781570900701.

It is a super-2 number, since 2×1070090751872² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913825847 + ... + 913827017.

It is an arithmetic number, because the mean of its divisors is an integer number (6677279550).

Almost surely, 2^{1070090751872} 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 1070090751872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282037673600).

1070090751872 is an abundant number, since it is smaller than the sum of its proper divisors (1493984595328).

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

1070090751872 is a wasteful number, since it uses less digits than its factorization.

1070090751872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 47.

The spelling of 1070090751872 in words is "one trillion, seventy billion, ninety million, seven hundred fifty-one thousand, eight hundred seventy-two".