1012493629560 has 128 divisors (see below), whose sum is σ = 3472280363520. Its totient is φ = 231368873472.

The previous prime is 1012493629457. The next prime is 1012493629573. The reversal of 1012493629560 is 659263942101.

It is a super-3 number, since 3×1012493629560³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3233022 + ... + 3532338.

It is an arithmetic number, because the mean of its divisors is an integer number (27127190340).

Almost surely, 2^{1012493629560} is an apocalyptic number.

1012493629560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012493629560 is an abundant number, since it is smaller than the sum of its proper divisors (2459786733960).

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

1012493629560 is a wasteful number, since it uses less digits than its factorization.

1012493629560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303365 (or 303361 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 1012493629560 in words is "one trillion, twelve billion, four hundred ninety-three million, six hundred twenty-nine thousand, five hundred sixty".