52010204400 has 1080 divisors, whose sum is σ = 233364042912. Its totient is φ = 10492416000.

The previous prime is 52010204381. The next prime is 52010204429. The reversal of 52010204400 is 440201025.

52010204400 is a `hidden beast` number, since 5 + 201 + 0 + 20 + 440 + 0 = 666.

It is a super-2 number, since 2×52010204400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 112820170 + ... + 112820630.

Almost surely, 2^52010204400 is an apocalyptic number.

52010204400 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 52010204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116682021456).

52010204400 is an abundant number, since it is smaller than the sum of its proper divisors (181353838512).

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

52010204400 is a wasteful number, since it uses less digits than its factorization.

52010204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 526 counting only the distinct ones).

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

Adding to 52010204400 its reverse (440201025), we get a palindrome (52450405425).

The spelling of 52010204400 in words is "fifty-two billion, ten million, two hundred four thousand, four hundred".