52114955200 has 672 divisors, whose sum is σ = 171439027200. Its totient is φ = 15094579200.

The previous prime is 52114955159. The next prime is 52114955219. The reversal of 52114955200 is 255941125.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 312065517 + ... + 312065683.

It is an arithmetic number, because the mean of its divisors is an integer number (255117600).

Almost surely, 2^52114955200 is an apocalyptic number.

52114955200 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 52114955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85719513600).

52114955200 is an abundant number, since it is smaller than the sum of its proper divisors (119324072000).

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

52114955200 is a wasteful number, since it uses less digits than its factorization.

52114955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 52114955200 in words is "fifty-two billion, one hundred fourteen million, nine hundred fifty-five thousand, two hundred".