1002886974000 has 320 divisors, whose sum is σ = 3628153676160. Its totient is φ = 264787200000.

The previous prime is 1002886973989. The next prime is 1002886974013. The reversal of 1002886974000 is 4796882001.

1002886974000 is a `hidden beast` number, since 100 + 2 + 88 + 69 + 7 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5362060 + ... + 5545940.

It is an arithmetic number, because the mean of its divisors is an integer number (11337980238).

Almost surely, 2^{1002886974000} is an apocalyptic number.

1002886974000 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 1002886974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814076838080).

1002886974000 is an abundant number, since it is smaller than the sum of its proper divisors (2625266702160).

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

1002886974000 is a wasteful number, since it uses less digits than its factorization.

1002886974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184014 (or 183992 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1002886974000 in words is "one trillion, two billion, eight hundred eighty-six million, nine hundred seventy-four thousand".