52005819198900 has 288 divisors, whose sum is σ = 175806589658112. Its totient is φ = 11624149785600.

The previous prime is 52005819198869. The next prime is 52005819198919. The reversal of 52005819198900 is 989191850025.

It is a super-2 number, since 2×52005819198900² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17926915 + ... + 20624885.

It is an arithmetic number, because the mean of its divisors is an integer number (610439547424).

Almost surely, 2^{52005819198900} is an apocalyptic number.

52005819198900 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 52005819198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87903294829056).

52005819198900 is an abundant number, since it is smaller than the sum of its proper divisors (123800770459212).

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

52005819198900 is a wasteful number, since it uses less digits than its factorization.

52005819198900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698199 (or 2698192 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 57.

The spelling of 52005819198900 in words is "fifty-two trillion, five billion, eight hundred nineteen million, one hundred ninety-eight thousand, nine hundred".