53200117800 has 576 divisors, whose sum is σ = 200558592000. Its totient is φ = 12573411840.

The previous prime is 53200117793. The next prime is 53200117807. The reversal of 53200117800 is 871100235.

It is an interprime number because it is at equal distance from previous prime (53200117793) and next prime (53200117807).

It is not an unprimeable number, because it can be changed into a prime (53200117807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36969481 + ... + 36970919.

It is an arithmetic number, because the mean of its divisors is an integer number (348192000).

Almost surely, 2^53200117800 is an apocalyptic number.

53200117800 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 53200117800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100279296000).

53200117800 is an abundant number, since it is smaller than the sum of its proper divisors (147358474200).

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

53200117800 is a wasteful number, since it uses less digits than its factorization.

53200117800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 53200117800 in words is "fifty-three billion, two hundred million, one hundred seventeen thousand, eight hundred".