53133625200 has 120 divisors (see below), whose sum is σ = 170292444336. Its totient is φ = 14161664000.

The previous prime is 53133625187. The next prime is 53133625213. The reversal of 53133625200 is 252633135.

It is an interprime number because it is at equal distance from previous prime (53133625187) and next prime (53133625213).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2558860 + ... + 2579540.

Almost surely, 2^53133625200 is an apocalyptic number.

53133625200 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 53133625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85146222168).

53133625200 is an abundant number, since it is smaller than the sum of its proper divisors (117158819136).

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

53133625200 is a wasteful number, since it uses less digits than its factorization.

53133625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22843 (or 22832 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 53133625200 in words is "fifty-three billion, one hundred thirty-three million, six hundred twenty-five thousand, two hundred".