1071390358512 has 240 divisors, whose sum is σ = 3097629426528. Its totient is φ = 345432729600.

The previous prime is 1071390358499. The next prime is 1071390358529. The reversal of 1071390358512 is 2158530931701.

1071390358512 is a `hidden beast` number, since 1 + 0 + 7 + 13 + 90 + 35 + 8 + 512 = 666.

It is a super-2 number, since 2×1071390358512² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019400387 + ... + 1019401437.

Almost surely, 2^{1071390358512} is an apocalyptic number.

1071390358512 is a gapful number since it is divisible by the number (12) 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 1071390358512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548814713264).

1071390358512 is an abundant number, since it is smaller than the sum of its proper divisors (2026239068016).

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

1071390358512 is a wasteful number, since it uses less digits than its factorization.

1071390358512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1071390358512 in words is "one trillion, seventy-one billion, three hundred ninety million, three hundred fifty-eight thousand, five hundred twelve".