1002659599872 has 1280 divisors, whose sum is σ = 3748560076800. Its totient is φ = 258227896320.

The previous prime is 1002659599867. The next prime is 1002659599901. The reversal of 1002659599872 is 2789959562001.

1002659599872 is a `hidden beast` number, since 10 + 0 + 26 + 5 + 9 + 599 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3542966643 + ... + 3542966925.

It is an arithmetic number, because the mean of its divisors is an integer number (2928562560).

Almost surely, 2^{1002659599872} is an apocalyptic number.

1002659599872 is a gapful number since it is divisible by the number (12) 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 1002659599872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874280038400).

1002659599872 is an abundant number, since it is smaller than the sum of its proper divisors (2745900476928).

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

1002659599872 is a wasteful number, since it uses less digits than its factorization.

1002659599872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 1002659599872 in words is "one trillion, two billion, six hundred fifty-nine million, five hundred ninety-nine thousand, eight hundred seventy-two".