64853406832590 has 192 divisors, whose sum is σ = 181125446740992. Its totient is φ = 16042503859200.

The previous prime is 64853406832559. The next prime is 64853406832651. The reversal of 64853406832590 is 9523860435846.

64853406832590 is a `hidden beast` number, since 6 + 4 + 8 + 5 + 3 + 4 + 0 + 6 + 8 + 32 + 590 = 666.

It is a super-2 number, since 2×64853406832590² (a number of 28 digits) contains 22 as substring.

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, 32276295 + ... + 34226685.

It is an arithmetic number, because the mean of its divisors is an integer number (943361701776).

Almost surely, 2^{64853406832590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64853406832590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90562723370496).

64853406832590 is an abundant number, since it is smaller than the sum of its proper divisors (116272039908402).

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

64853406832590 is a wasteful number, since it uses less digits than its factorization.

64853406832590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950735 (or 1950732 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 64853406832590 in words is "sixty-four trillion, eight hundred fifty-three billion, four hundred six million, eight hundred thirty-two thousand, five hundred ninety".