10005016660674 has 256 divisors, whose sum is σ = 25393106534400. Its totient is φ = 2563288326144.

The previous prime is 10005016660663. The next prime is 10005016660697. The reversal of 10005016660674 is 47606661050001.

It is a happy number.

10005016660674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1941588082 + ... + 1941593234.

It is an arithmetic number, because the mean of its divisors is an integer number (99191822400).

Almost surely, 2^{10005016660674} is an apocalyptic number.

10005016660674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005016660674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12696553267200).

10005016660674 is an abundant number, since it is smaller than the sum of its proper divisors (15388089873726).

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

10005016660674 is a wasteful number, since it uses less digits than its factorization.

10005016660674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6849.

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 10005016660674 in words is "ten trillion, five billion, sixteen million, six hundred sixty thousand, six hundred seventy-four".