10005610605060 has 48 divisors (see below), whose sum is σ = 32017953937536. Its totient is φ = 2286996709632.

The previous prime is 10005610605049. The next prime is 10005610605131. The reversal of 10005610605060 is 6050601650001.

It is a super-2 number, since 2×10005610605060² (a number of 27 digits) contains 22 as substring.

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

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, 11911440777 + ... + 11911441616.

It is an arithmetic number, because the mean of its divisors is an integer number (667040707032).

Almost surely, 2^{10005610605060} is an apocalyptic number.

10005610605060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005610605060 is an abundant number, since it is smaller than the sum of its proper divisors (22012343332476).

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

10005610605060 is a wasteful number, since it uses less digits than its factorization.

10005610605060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23822882412 (or 23822882410 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10005610605060 in words is "ten trillion, five billion, six hundred ten million, six hundred five thousand, sixty".