1005218120664 has 144 divisors (see below), whose sum is σ = 2835908758800. Its totient is φ = 321645074688.

The previous prime is 1005218120657. The next prime is 1005218120681. The reversal of 1005218120664 is 4660218125001.

It is a happy number.

1005218120664 is a `hidden beast` number, since 1 + 0 + 0 + 521 + 8 + 120 + 6 + 6 + 4 = 666.

1005218120664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005218120664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10427517 + ... + 10523475.

It is an arithmetic number, because the mean of its divisors is an integer number (19693810825).

Almost surely, 2^{1005218120664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005218120664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417954379400).

1005218120664 is an abundant number, since it is smaller than the sum of its proper divisors (1830690638136).

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

1005218120664 is a wasteful number, since it uses less digits than its factorization.

1005218120664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96202 (or 96166 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1005218120664 in words is "one trillion, five billion, two hundred eighteen million, one hundred twenty thousand, six hundred sixty-four".