10151005066660 has 48 divisors (see below), whose sum is σ = 21553295203440. Its totient is φ = 4015508326400.

The previous prime is 10151005066651. The next prime is 10151005066661. The reversal of 10151005066660 is 6666050015101.

10151005066660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 133881346404 + 10017123720256 = 365898^2 + 3164984^2 .

It is not an unprimeable number, because it can be changed into a prime (10151005066661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200745 + ... + 4663024.

It is an arithmetic number, because the mean of its divisors is an integer number (449026983405).

Almost surely, 2^{10151005066660} is an apocalyptic number.

10151005066660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10151005066660 is an abundant number, since it is smaller than the sum of its proper divisors (11402290136780).

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

10151005066660 is a wasteful number, since it uses less digits than its factorization.

10151005066660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864736 (or 5864734 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 10151005066660 in words is "ten trillion, one hundred fifty-one billion, five million, sixty-six thousand, six hundred sixty".