1071592913664 has 1080 divisors, whose sum is σ = 4133603177088. Its totient is φ = 273396695040.

The previous prime is 1071592913653. The next prime is 1071592913731. The reversal of 1071592913664 is 4663192951701.

1071592913664 is a `hidden beast` number, since 10 + 7 + 1 + 592 + 9 + 1 + 36 + 6 + 4 = 666.

It is a super-2 number, since 2×1071592913664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1071592913664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 409472484 + ... + 409475100.

Almost surely, 2^{1071592913664} is an apocalyptic number.

1071592913664 is a gapful number since it is divisible by the number (14) 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 1071592913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066801588544).

1071592913664 is an abundant number, since it is smaller than the sum of its proper divisors (3062010263424).

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

1071592913664 is a wasteful number, since it uses less digits than its factorization.

1071592913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1071592913664 in words is "one trillion, seventy-one billion, five hundred ninety-two million, nine hundred thirteen thousand, six hundred sixty-four".