1007165206020 has 24 divisors (see below), whose sum is σ = 2820062577024. Its totient is φ = 268577388256.

The previous prime is 1007165206009. The next prime is 1007165206031. The reversal of 1007165206020 is 206025617001.

It is an interprime number because it is at equal distance from previous prime (1007165206009) and next prime (1007165206031).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 8393043324 + ... + 8393043443.

It is an arithmetic number, because the mean of its divisors is an integer number (117502607376).

Almost surely, 2^{1007165206020} is an apocalyptic number.

1007165206020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007165206020 is an abundant number, since it is smaller than the sum of its proper divisors (1812897371004).

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

1007165206020 is a wasteful number, since it uses less digits than its factorization.

1007165206020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16786086779 (or 16786086777 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 1007165206020 in words is "one trillion, seven billion, one hundred sixty-five million, two hundred six thousand, twenty".