52713158400 has 432 divisors, whose sum is σ = 220912249600. Its totient is φ = 12048445440.

The previous prime is 52713158369. The next prime is 52713158429. The reversal of 52713158400 is 485131725.

52713158400 is a `hidden beast` number, since 5 + 2 + 71 + 3 + 1 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×52713158400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187811 + ... + 1231389.

Almost surely, 2^52713158400 is an apocalyptic number.

52713158400 is a gapful number since it is divisible by the number (50) 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 52713158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110456124800).

52713158400 is an abundant number, since it is smaller than the sum of its proper divisors (168199091200).

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

52713158400 is a wasteful number, since it uses less digits than its factorization.

52713158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43621 (or 43596 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 52713158400 in words is "fifty-two billion, seven hundred thirteen million, one hundred fifty-eight thousand, four hundred".