52148683800 has 144 divisors (see below), whose sum is σ = 175919365440. Its totient is φ = 13843848960.

The previous prime is 52148683787. The next prime is 52148683831. The reversal of 52148683800 is 838684125.

52148683800 is a `hidden beast` number, since 521 + 48 + 6 + 8 + 3 + 80 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 336442 + ... + 466358.

It is an arithmetic number, because the mean of its divisors is an integer number (1221662260).

Almost surely, 2^52148683800 is an apocalyptic number.

52148683800 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 52148683800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87959682720).

52148683800 is an abundant number, since it is smaller than the sum of its proper divisors (123770681640).

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

52148683800 is a wasteful number, since it uses less digits than its factorization.

52148683800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130162 (or 130150 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 52148683800 in words is "fifty-two billion, one hundred forty-eight million, six hundred eighty-three thousand, eight hundred".