1009884672000 has 624 divisors, whose sum is σ = 3775825845792. Its totient is φ = 269269401600.

The previous prime is 1009884671987. The next prime is 1009884672031. The reversal of 1009884672000 is 2764889001.

1009884672000 is a `hidden beast` number, since 100 + 9 + 88 + 467 + 2 + 0 + 0 + 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 47 ways as a sum of consecutive naturals, for example, 124411942 + ... + 124420058.

It is an arithmetic number, because the mean of its divisors is an integer number (6051002958).

Almost surely, 2^{1009884672000} is an apocalyptic number.

1009884672000 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 1009884672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887912922896).

1009884672000 is an abundant number, since it is smaller than the sum of its proper divisors (2765941173792).

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

1009884672000 is an frugal number, since it uses more digits than its factorization.

1009884672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8171 (or 8127 counting only the distinct ones).

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

The spelling of 1009884672000 in words is "one trillion, nine billion, eight hundred eighty-four million, six hundred seventy-two thousand".