487573553516544 has 1040 divisors, whose sum is σ = 1608360975957120. Its totient is φ = 145949164830720.

The previous prime is 487573553516471. The next prime is 487573553516573. The reversal of 487573553516544 is 445615355375784.

487573553516544 is a `hidden beast` number, since 4 + 8 + 7 + 5 + 7 + 3 + 5 + 53 + 516 + 54 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 259485658197 + ... + 259485660075.

Almost surely, 2^{487573553516544} is an apocalyptic number.

487573553516544 is a gapful number since it is divisible by the number (44) 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 487573553516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804180487978560).

487573553516544 is an abundant number, since it is smaller than the sum of its proper divisors (1120787422440576).

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

487573553516544 is a wasteful number, since it uses less digits than its factorization.

487573553516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2725 counting only the distinct ones).

The product of its digits is 4233600000, while the sum is 72.

The spelling of 487573553516544 in words is "four hundred eighty-seven trillion, five hundred seventy-three billion, five hundred fifty-three million, five hundred sixteen thousand, five hundred forty-four".