52103692800 has 480 divisors, whose sum is σ = 193170225600. Its totient is φ = 13754695680.

The previous prime is 52103692793. The next prime is 52103692801. The reversal of 52103692800 is 829630125.

52103692800 is a `hidden beast` number, since 5 + 2 + 10 + 369 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (52103692801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36978496 + ... + 36979904.

It is an arithmetic number, because the mean of its divisors is an integer number (402437970).

Almost surely, 2^52103692800 is an apocalyptic number.

52103692800 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 52103692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96585112800).

52103692800 is an abundant number, since it is smaller than the sum of its proper divisors (141066532800).

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

52103692800 is a wasteful number, since it uses less digits than its factorization.

52103692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 52103692800 in words is "fifty-two billion, one hundred three million, six hundred ninety-two thousand, eight hundred".