1005647985552 has 160 divisors (see below), whose sum is σ = 3179030457600. Its totient is φ = 267387715584.

The previous prime is 1005647985521. The next prime is 1005647985553. The reversal of 1005647985552 is 2555897465001.

It is a super-2 number, since 2×1005647985552² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005647985492 and 1005647985501.

It is not an unprimeable number, because it can be changed into a prime (1005647985553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480727 + ... + 1497462.

It is an arithmetic number, because the mean of its divisors is an integer number (19868940360).

Almost surely, 2^{1005647985552} is an apocalyptic number.

1005647985552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005647985552 is an abundant number, since it is smaller than the sum of its proper divisors (2173382472048).

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

1005647985552 is a wasteful number, since it uses less digits than its factorization.

1005647985552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978313 (or 1978307 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 57.

The spelling of 1005647985552 in words is "one trillion, five billion, six hundred forty-seven million, nine hundred eighty-five thousand, five hundred fifty-two".