1006646200160 has 48 divisors (see below), whose sum is σ = 2400020053200. Its totient is φ = 398964358656.

The previous prime is 1006646200151. The next prime is 1006646200193. The reversal of 1006646200160 is 610026466001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28842830 + ... + 28877709.

It is an arithmetic number, because the mean of its divisors is an integer number (50000417775).

Almost surely, 2^{1006646200160} is an apocalyptic number.

1006646200160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006646200160 is an abundant number, since it is smaller than the sum of its proper divisors (1393373853040).

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

1006646200160 is a wasteful number, since it uses less digits than its factorization.

1006646200160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57720663 (or 57720655 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1006646200160 in words is "one trillion, six billion, six hundred forty-six million, two hundred thousand, one hundred sixty".