1056665216640 has 128 divisors (see below), whose sum is σ = 3674313213120. Its totient is φ = 256161259520.

The previous prime is 1056665216639. The next prime is 1056665216657. The reversal of 1056665216640 is 466125666501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1056665216640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1056665216640.

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 15 ways as a sum of consecutive naturals, for example, 24994629 + ... + 25036868.

Almost surely, 2^{1056665216640} is an apocalyptic number.

1056665216640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056665216640 is an abundant number, since it is smaller than the sum of its proper divisors (2617647996480).

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

1056665216640 is a wasteful number, since it uses less digits than its factorization.

1056665216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50031530 (or 50031518 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 1056665216640 in words is "one trillion, fifty-six billion, six hundred sixty-five million, two hundred sixteen thousand, six hundred forty".