1007628515712 has 512 divisors, whose sum is σ = 3684925440000. Its totient is φ = 263952359424.

The previous prime is 1007628515609. The next prime is 1007628515737. The reversal of 1007628515712 is 2175158267001.

1007628515712 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 6 + 28 + 51 + 571 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46849153 + ... + 46870655.

It is an arithmetic number, because the mean of its divisors is an integer number (7197120000).

Almost surely, 2^{1007628515712} is an apocalyptic number.

1007628515712 is a gapful number since it is divisible by the number (12) 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 1007628515712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842462720000).

1007628515712 is an abundant number, since it is smaller than the sum of its proper divisors (2677296924288).

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

1007628515712 is a wasteful number, since it uses less digits than its factorization.

1007628515712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21695 (or 21677 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 1007628515712 in words is "one trillion, seven billion, six hundred twenty-eight million, five hundred fifteen thousand, seven hundred twelve".