1052329488000 has 1280 divisors, whose sum is σ = 4257279786240. Its totient is φ = 229494988800.

The previous prime is 1052329487971. The next prime is 1052329488053. The reversal of 1052329488000 is 8849232501.

It is a super-3 number, since 3×1052329488000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2650703802 + ... + 2650704198.

It is an arithmetic number, because the mean of its divisors is an integer number (3325999833).

Almost surely, 2^{1052329488000} is an apocalyptic number.

1052329488000 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 1052329488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128639893120).

1052329488000 is an abundant number, since it is smaller than the sum of its proper divisors (3204950298240).

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

1052329488000 is an frugal number, since it uses more digits than its factorization.

1052329488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 1052329488000 in words is "one trillion, fifty-two billion, three hundred twenty-nine million, four hundred eighty-eight thousand".