1052095968000 has 2592 divisors, whose sum is σ = 5028000606720. Its totient is φ = 206198784000.

The previous prime is 1052095967933. The next prime is 1052095968037. The reversal of 1052095968000 is 8695902501.

1052095968000 is a `hidden beast` number, since 1 + 0 + 52 + 0 + 9 + 596 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1052095968000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4634783887 + ... + 4634784113.

Almost surely, 2^{1052095968000} is an apocalyptic number.

1052095968000 is a gapful number since it is divisible by the number (10) 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 1052095968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514000303360).

1052095968000 is an abundant number, since it is smaller than the sum of its proper divisors (3975904638720).

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

1052095968000 is a wasteful number, since it uses less digits than its factorization.

1052095968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1052095968000 in words is "one trillion, fifty-two billion, ninety-five million, nine hundred sixty-eight thousand".