1012764521680 has 160 divisors (see below), whose sum is σ = 2479225605120. Its totient is φ = 384217067520.

The previous prime is 1012764521651. The next prime is 1012764521719. The reversal of 1012764521680 is 861254672101.

It is a super-3 number, since 3×1012764521680³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135773791 + ... + 135781249.

It is an arithmetic number, because the mean of its divisors is an integer number (15495160032).

Almost surely, 2^{1012764521680} is an apocalyptic number.

1012764521680 is a gapful number since it is divisible by the number (10) 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 1012764521680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239612802560).

1012764521680 is an abundant number, since it is smaller than the sum of its proper divisors (1466461083440).

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

1012764521680 is a wasteful number, since it uses less digits than its factorization.

1012764521680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 1012764521680 in words is "one trillion, twelve billion, seven hundred sixty-four million, five hundred twenty-one thousand, six hundred eighty".