53486232164064 has 384 divisors, whose sum is σ = 187572052684800. Its totient is φ = 14506104360960.

The previous prime is 53486232164017. The next prime is 53486232164069. The reversal of 53486232164064 is 46046123268435.

53486232164064 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 623 + 2 + 1 + 6 + 4 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×53486232164064² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53486232164064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53486232164069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6259977 + ... + 12089655.

It is an arithmetic number, because the mean of its divisors is an integer number (488468887200).

Almost surely, 2^{53486232164064} is an apocalyptic number.

53486232164064 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 53486232164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93786026342400).

53486232164064 is an abundant number, since it is smaller than the sum of its proper divisors (134085820520736).

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

53486232164064 is a wasteful number, since it uses less digits than its factorization.

53486232164064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829783 (or 5829769 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 53486232164064 in words is "fifty-three trillion, four hundred eighty-six billion, two hundred thirty-two million, one hundred sixty-four thousand, sixty-four".