53120825049600 has 2880 divisors, whose sum is σ = 255441364992000. Its totient is φ = 10680864768000.

The previous prime is 53120825049583. The next prime is 53120825049647. The reversal of 53120825049600 is 694052802135.

53120825049600 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 0 + 82 + 504 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 5774625801 + ... + 5774634999.

It is an arithmetic number, because the mean of its divisors is an integer number (88694918400).

Almost surely, 2^{53120825049600} is an apocalyptic number.

53120825049600 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 53120825049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127720682496000).

53120825049600 is an abundant number, since it is smaller than the sum of its proper divisors (202320539942400).

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

53120825049600 is a wasteful number, since it uses less digits than its factorization.

53120825049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9292 (or 9258 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 53120825049600 in words is "fifty-three trillion, one hundred twenty billion, eight hundred twenty-five million, forty-nine thousand, six hundred".