53946303264 has 168 divisors, whose sum is σ = 181986073920. Its totient is φ = 15413182848.

The previous prime is 53946303259. The next prime is 53946303283. The reversal of 53946303264 is 46230364935.

53946303264 is a `hidden beast` number, since 5 + 3 + 9 + 4 + 630 + 3 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1884 + ... + 328475.

It is an arithmetic number, because the mean of its divisors is an integer number (1083250440).

Almost surely, 2^53946303264 is an apocalyptic number.

53946303264 is a gapful number since it is divisible by the number (54) 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 53946303264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90993036960).

53946303264 is an abundant number, since it is smaller than the sum of its proper divisors (128039770656).

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

53946303264 is an equidigital number, since it uses as much as digits as its factorization.

53946303264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330394 (or 330371 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 53946303264 in words is "fifty-three billion, nine hundred forty-six million, three hundred three thousand, two hundred sixty-four".