1011958505316 has 288 divisors, whose sum is σ = 3008611307520. Its totient is φ = 284297376960.

The previous prime is 1011958505197. The next prime is 1011958505417. The reversal of 1011958505316 is 6135058591101.

1011958505316 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 9 + 585 + 0 + 53 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127655745 + ... + 127663671.

It is an arithmetic number, because the mean of its divisors is an integer number (10446567040).

Almost surely, 2^{1011958505316} 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 1011958505316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504305653760).

1011958505316 is an abundant number, since it is smaller than the sum of its proper divisors (1996652802204).

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

1011958505316 is a wasteful number, since it uses less digits than its factorization.

1011958505316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8052 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 1011958505316 in words is "one trillion, eleven billion, nine hundred fifty-eight million, five hundred five thousand, three hundred sixteen".