52748186400 has 1728 divisors, whose sum is σ = 245684275200. Its totient is φ = 10567065600.

The previous prime is 52748186353. The next prime is 52748186411. The reversal of 52748186400 is 468184725.

52748186400 is a `hidden beast` number, since 5 + 27 + 48 + 186 + 400 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 995248774 + ... + 995248826.

It is an arithmetic number, because the mean of its divisors is an integer number (142178400).

Almost surely, 2^52748186400 is an apocalyptic number.

52748186400 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 52748186400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122842137600).

52748186400 is an abundant number, since it is smaller than the sum of its proper divisors (192936088800).

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

52748186400 is a wasteful number, since it uses less digits than its factorization.

52748186400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 52748186400 in words is "fifty-two billion, seven hundred forty-eight million, one hundred eighty-six thousand, four hundred".