1585799392100 has 972 divisors, whose sum is σ = 4813626908160. Its totient is φ = 451259424000.

The previous prime is 1585799392049. The next prime is 1585799392123. The reversal of 1585799392100 is 12939975851.

It is a self number, because there is not a number n which added to its sum of digits gives 1585799392100.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 6635143781 + ... + 6635144019.

Almost surely, 2^{1585799392100} is an apocalyptic number.

1585799392100 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 1585799392100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406813454080).

1585799392100 is an abundant number, since it is smaller than the sum of its proper divisors (3227827516060).

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

1585799392100 is a wasteful number, since it uses less digits than its factorization.

1585799392100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 59.

The spelling of 1585799392100 in words is "one trillion, five hundred eighty-five billion, seven hundred ninety-nine million, three hundred ninety-two thousand, one hundred".