1005980161014 has 64 divisors (see below), whose sum is σ = 2258004600000. Its totient is φ = 331953811200.

The previous prime is 1005980160953. The next prime is 1005980161027. The reversal of 1005980161014 is 4101610895001.

It is a happy number.

1005980161014 is a `hidden beast` number, since 1 + 0 + 0 + 598 + 0 + 1 + 61 + 0 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1005980161014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49670362 + ... + 49690610.

It is an arithmetic number, because the mean of its divisors is an integer number (35281321875).

Almost surely, 2^{1005980161014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005980161014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129002300000).

1005980161014 is an abundant number, since it is smaller than the sum of its proper divisors (1252024438986).

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

1005980161014 is a wasteful number, since it uses less digits than its factorization.

1005980161014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29470 (or 29464 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 1005980161014 in words is "one trillion, five billion, nine hundred eighty million, one hundred sixty-one thousand, fourteen".