1587214503168 has 1152 divisors, whose sum is σ = 5360776888320. Its totient is φ = 407385538560.

The previous prime is 1587214503163. The next prime is 1587214503191. The reversal of 1587214503168 is 8613054127851.

It is a self number, because there is not a number n which added to its sum of digits gives 1587214503168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587214503163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23689768671 + ... + 23689768737.

It is an arithmetic number, because the mean of its divisors is an integer number (4653452160).

Almost surely, 2^{1587214503168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1587214503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680388444160).

1587214503168 is an abundant number, since it is smaller than the sum of its proper divisors (3773562385152).

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

1587214503168 is a wasteful number, since it uses less digits than its factorization.

1587214503168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 1587214503168 in words is "one trillion, five hundred eighty-seven billion, two hundred fourteen million, five hundred three thousand, one hundred sixty-eight".