587166521425920 has 2176 divisors, whose sum is σ = 2302957315584000. Its totient is φ = 143125427257344.

The previous prime is 587166521425919. The next prime is 587166521425963. The reversal of 587166521425920 is 29524125661785.

587166521425920 is a `hidden beast` number, since 5 + 8 + 7 + 1 + 66 + 521 + 4 + 25 + 9 + 20 = 666.

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, 394866523417 + ... + 394866524903.

Almost surely, 2^{587166521425920} 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 587166521425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151478657792000).

587166521425920 is an abundant number, since it is smaller than the sum of its proper divisors (1715790794158080).

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

587166521425920 is an frugal number, since it uses more digits than its factorization.

587166521425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 587166521425920 in words is "five hundred eighty-seven trillion, one hundred sixty-six billion, five hundred twenty-one million, four hundred twenty-five thousand, nine hundred twenty".