1005151016600 has 48 divisors (see below), whose sum is σ = 2337058309320. Its totient is φ = 402046265600.

The previous prime is 1005151016533. The next prime is 1005151016609. The reversal of 1005151016600 is 66101515001.

1005151016600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1005151016600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005151016609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7050020 + ... + 7191180.

Almost surely, 2^{1005151016600} is an apocalyptic number.

1005151016600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005151016600 is an abundant number, since it is smaller than the sum of its proper divisors (1331907292720).

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

1005151016600 is a wasteful number, since it uses less digits than its factorization.

1005151016600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176780 (or 176771 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 1005151016600 in words is "one trillion, five billion, one hundred fifty-one million, sixteen thousand, six hundred".