53253852019200 has 5760 divisors, whose sum is σ = 257984087961600. Its totient is φ = 10594748989440.

The previous prime is 53253852019187. The next prime is 53253852019211. The reversal of 53253852019200 is 291025835235.

53253852019200 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 38 + 520 + 1 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 275926694304 + ... + 275926694496.

It is an arithmetic number, because the mean of its divisors is an integer number (44788904160).

Almost surely, 2^{53253852019200} is an apocalyptic number.

53253852019200 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 53253852019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128992043980800).

53253852019200 is an abundant number, since it is smaller than the sum of its proper divisors (204730235942400).

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

53253852019200 is a wasteful number, since it uses less digits than its factorization.

53253852019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 53253852019200 in words is "fifty-three trillion, two hundred fifty-three billion, eight hundred fifty-two million, nineteen thousand, two hundred".