1587342500352 has 960 divisors, whose sum is σ = 5948776753920. Its totient is φ = 412018016256.

The previous prime is 1587342500311. The next prime is 1587342500353. The reversal of 1587342500352 is 2530052437851.

1587342500352 is a `hidden beast` number, since 1 + 5 + 8 + 73 + 42 + 500 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1587342500298 and 1587342500307.

It is not an unprimeable number, because it can be changed into a prime (1587342500353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429357768 + ... + 429361464.

It is an arithmetic number, because the mean of its divisors is an integer number (6196642452).

Almost surely, 2^{1587342500352} is an apocalyptic number.

1587342500352 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 1587342500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974388376960).

1587342500352 is an abundant number, since it is smaller than the sum of its proper divisors (4361434253568).

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

1587342500352 is an equidigital number, since it uses as much as digits as its factorization.

1587342500352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 1587342500352 in words is "one trillion, five hundred eighty-seven billion, three hundred forty-two million, five hundred thousand, three hundred fifty-two".