1071037612008 has 1280 divisors, whose sum is σ = 4109833728000. Its totient is φ = 252551540736.

The previous prime is 1071037611991. The next prime is 1071037612037. The reversal of 1071037612008 is 8002167301701.

1071037612008 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 0 + 37 + 612 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×1071037612008² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2293442191 + ... + 2293442657.

It is an arithmetic number, because the mean of its divisors is an integer number (3210807600).

Almost surely, 2^{1071037612008} is an apocalyptic number.

1071037612008 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 1071037612008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054916864000).

1071037612008 is an abundant number, since it is smaller than the sum of its proper divisors (3038796115992).

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

1071037612008 is a wasteful number, since it uses less digits than its factorization.

1071037612008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 1071037612008 in words is "one trillion, seventy-one billion, thirty-seven million, six hundred twelve thousand, eight".