1052860512000 has 1152 divisors, whose sum is σ = 4046521909248. Its totient is φ = 240125952000.

The previous prime is 1052860511993. The next prime is 1052860512001. The reversal of 1052860512000 is 2150682501.

It is a super-2 number, since 2×1052860512000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052860512001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1627295677 + ... + 1627296323.

It is an arithmetic number, because the mean of its divisors is an integer number (3512605824).

Almost surely, 2^{1052860512000} is an apocalyptic number.

1052860512000 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 1052860512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023260954624).

1052860512000 is an abundant number, since it is smaller than the sum of its proper divisors (2993661397248).

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

1052860512000 is a wasteful number, since it uses less digits than its factorization.

1052860512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 1052860512000 in words is "one trillion, fifty-two billion, eight hundred sixty million, five hundred twelve thousand".