1012914175680 has 1120 divisors, whose sum is σ = 4051954824192. Its totient is φ = 238082457600.

The previous prime is 1012914175649. The next prime is 1012914175723. The reversal of 1012914175680 is 865714192101.

1012914175680 is a `hidden beast` number, since 10 + 12 + 91 + 417 + 56 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 1755483552 + ... + 1755484128.

Almost surely, 2^{1012914175680} is an apocalyptic number.

1012914175680 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 1012914175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025977412096).

1012914175680 is an abundant number, since it is smaller than the sum of its proper divisors (3039040648512).

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

1012914175680 is a wasteful number, since it uses less digits than its factorization.

1012914175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1012914175680 in words is "one trillion, twelve billion, nine hundred fourteen million, one hundred seventy-five thousand, six hundred eighty".