1007391064512 has 224 divisors, whose sum is σ = 3146345938944. Its totient is φ = 278370892800.

The previous prime is 1007391064507. The next prime is 1007391064531. The reversal of 1007391064512 is 2154601937001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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, 77946883 + ... + 77959805.

Almost surely, 2^{1007391064512} is an apocalyptic number.

1007391064512 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 1007391064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573172969472).

1007391064512 is an abundant number, since it is smaller than the sum of its proper divisors (2138954874432).

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

1007391064512 is a wasteful number, since it uses less digits than its factorization.

1007391064512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14847 (or 14837 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 1007391064512 in words is "one trillion, seven billion, three hundred ninety-one million, sixty-four thousand, five hundred twelve".