52854367104 has 1024 divisors, whose sum is σ = 206807040000. Its totient is φ = 12889497600.

The previous prime is 52854367099. The next prime is 52854367109. The reversal of 52854367104 is 40176345825.

52854367104 is a `hidden beast` number, since 5 + 285 + 4 + 367 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (52854367099) and next prime (52854367109).

It is a self number, because there is not a number n which added to its sum of digits gives 52854367104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52854367109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354727222 + ... + 354727370.

It is an arithmetic number, because the mean of its divisors is an integer number (201960000).

Almost surely, 2^52854367104 is an apocalyptic number.

52854367104 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 52854367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103403520000).

52854367104 is an abundant number, since it is smaller than the sum of its proper divisors (153952672896).

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

52854367104 is a wasteful number, since it uses less digits than its factorization.

52854367104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 52854367104 in words is "fifty-two billion, eight hundred fifty-four million, three hundred sixty-seven thousand, one hundred four".