1052521968000 has 256 divisors, whose sum is σ = 3498141816000. Its totient is φ = 279946035200.

The previous prime is 1052521967999. The next prime is 1052521968011. The reversal of 1052521968000 is 8691252501.

It is a super-2 number, since 2×1052521968000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052521968000.

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, 18643816 + ... + 18700184.

Almost surely, 2^{1052521968000} is an apocalyptic number.

1052521968000 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 1052521968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749070908000).

1052521968000 is an abundant number, since it is smaller than the sum of its proper divisors (2445619848000).

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

1052521968000 is an equidigital number, since it uses as much as digits as its factorization.

1052521968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56790 (or 56768 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 1052521968000 in words is "one trillion, fifty-two billion, five hundred twenty-one million, nine hundred sixty-eight thousand".