52040102400 has 1440 divisors, whose sum is σ = 228424933440. Its totient is φ = 11645337600.

The previous prime is 52040102399. The next prime is 52040102417. The reversal of 52040102400 is 420104025.

52040102400 is a `hidden beast` number, since 5 + 20 + 401 + 0 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4003084794 + ... + 4003084806.

It is an arithmetic number, because the mean of its divisors is an integer number (158628426).

Almost surely, 2^52040102400 is an apocalyptic number.

52040102400 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 52040102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114212466720).

52040102400 is an abundant number, since it is smaller than the sum of its proper divisors (176384831040).

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

52040102400 is an equidigital number, since it uses as much as digits as its factorization.

52040102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 52040102400 its reverse (420104025), we get a palindrome (52460206425).

The spelling of 52040102400 in words is "fifty-two billion, forty million, one hundred two thousand, four hundred".