1007086884875 has 16 divisors (see below), whose sum is σ = 1262801074080. Its totient is φ = 801851148000.

The previous prime is 1007086884833. The next prime is 1007086884883. The reversal of 1007086884875 is 5784886807001.

1007086884875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-1007086884875 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19065320 + ... + 19118069.

It is an arithmetic number, because the mean of its divisors is an integer number (78925067130).

Almost surely, 2^{1007086884875} is an apocalyptic number.

1007086884875 is a deficient number, since it is larger than the sum of its proper divisors (255714189205).

1007086884875 is an equidigital number, since it uses as much as digits as its factorization.

1007086884875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38183615 (or 38183605 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 62.

The spelling of 1007086884875 in words is "one trillion, seven billion, eighty-six million, eight hundred eighty-four thousand, eight hundred seventy-five".