1002025068000 has 384 divisors, whose sum is σ = 3591481420800. Its totient is φ = 242208000000.

The previous prime is 1002025067993. The next prime is 1002025068013. The reversal of 1002025068000 is 8605202001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 46057125 + ... + 46078875.

It is an arithmetic number, because the mean of its divisors is an integer number (9352816200).

Almost surely, 2^{1002025068000} is an apocalyptic number.

1002025068000 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 1002025068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795740710400).

1002025068000 is an abundant number, since it is smaller than the sum of its proper divisors (2589456352800).

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

1002025068000 is a wasteful number, since it uses less digits than its factorization.

1002025068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22139 (or 22121 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 1002025068000 in words is "one trillion, two billion, twenty-five million, sixty-eight thousand".