1600115587500 has 288 divisors, whose sum is σ = 4786307656704. Its totient is φ = 415840000000.

The previous prime is 1600115587487. The next prime is 1600115587541. The reversal of 1600115587500 is 57855110061.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442385692 + ... + 442389308.

It is an arithmetic number, because the mean of its divisors is an integer number (16619123808).

Almost surely, 2^{1600115587500} is an apocalyptic number.

1600115587500 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 1600115587500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393153828352).

1600115587500 is an abundant number, since it is smaller than the sum of its proper divisors (3186192069204).

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

1600115587500 is a wasteful number, since it uses less digits than its factorization.

1600115587500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 39.

The spelling of 1600115587500 in words is "one trillion, six hundred billion, one hundred fifteen million, five hundred eighty-seven thousand, five hundred".