587374573146480 has 480 divisors, whose sum is σ = 2343784953828864. Its totient is φ = 133918854018048.

The previous prime is 587374573146469. The next prime is 587374573146539. The reversal of 587374573146480 is 84641375473785.

587374573146480 is a `hidden beast` number, since 5 + 8 + 7 + 3 + 7 + 4 + 57 + 31 + 464 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 587374573146399 and 587374573146408.

It is a congruent number.

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, 48587499 + ... + 59460021.

Almost surely, 2^{587374573146480} 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 587374573146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171892476914432).

587374573146480 is an abundant number, since it is smaller than the sum of its proper divisors (1756410380682384).

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

587374573146480 is a wasteful number, since it uses less digits than its factorization.

587374573146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872955 (or 10872937 counting only the distinct ones).

The product of its (nonzero) digits is 1896652800, while the sum is 72.

The spelling of 587374573146480 in words is "five hundred eighty-seven trillion, three hundred seventy-four billion, five hundred seventy-three million, one hundred forty-six thousand, four hundred eighty".