1004851872000 has 576 divisors, whose sum is σ = 3719739878400. Its totient is φ = 267146035200.

The previous prime is 1004851871941. The next prime is 1004851872029. The reversal of 1004851872000 is 2781584001.

1004851872000 is a `hidden beast` number, since 100 + 485 + 1 + 8 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 317086416 + ... + 317089584.

Almost surely, 2^{1004851872000} is an apocalyptic number.

1004851872000 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 1004851872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859869939200).

1004851872000 is an abundant number, since it is smaller than the sum of its proper divisors (2714888006400).

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

1004851872000 is an equidigital number, since it uses as much as digits as its factorization.

1004851872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 1004851872000 in words is "one trillion, four billion, eight hundred fifty-one million, eight hundred seventy-two thousand".