1011952779264 has 864 divisors, whose sum is σ = 3549625934400. Its totient is φ = 277453209600.

The previous prime is 1011952779193. The next prime is 1011952779281. The reversal of 1011952779264 is 4629772591101.

1011952779264 is a `hidden beast` number, since 10 + 1 + 19 + 527 + 7 + 92 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1011952779264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16589389794 + ... + 16589389854.

It is an arithmetic number, because the mean of its divisors is an integer number (4108363350).

Almost surely, 2^{1011952779264} is an apocalyptic number.

1011952779264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011952779264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774812967200).

1011952779264 is an abundant number, since it is smaller than the sum of its proper divisors (2537673155136).

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

1011952779264 is an frugal number, since it uses more digits than its factorization.

1011952779264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 1011952779264 in words is "one trillion, eleven billion, nine hundred fifty-two million, seven hundred seventy-nine thousand, two hundred sixty-four".