64085582315520 has 512 divisors, whose sum is σ = 229874592470400. Its totient is φ = 16938122084352.

The previous prime is 64085582315507. The next prime is 64085582315581. The reversal of 64085582315520 is 2551328558046.

64085582315520 is a `hidden beast` number, since 6 + 4 + 0 + 8 + 5 + 5 + 82 + 3 + 1 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499811739 + ... + 499939941.

Almost surely, 2^{64085582315520} is an apocalyptic number.

64085582315520 is a gapful number since it is divisible by the number (60) 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 64085582315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114937296235200).

64085582315520 is an abundant number, since it is smaller than the sum of its proper divisors (165789010154880).

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

64085582315520 is a wasteful number, since it uses less digits than its factorization.

64085582315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128360 (or 128326 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 64085582315520 in words is "sixty-four trillion, eighty-five billion, five hundred eighty-two million, three hundred fifteen thousand, five hundred twenty".