53200289961000 has 3072 divisors, whose sum is σ = 232799499878400. Its totient is φ = 10662202368000.

The previous prime is 53200289960959. The next prime is 53200289961017. The reversal of 53200289961000 is 16998200235.

53200289961000 is a `hidden beast` number, since 5 + 3 + 2 + 0 + 0 + 28 + 9 + 9 + 610 + 0 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 326382146919 + ... + 326382147081.

It is an arithmetic number, because the mean of its divisors is an integer number (75781087200).

Almost surely, 2^{53200289961000} is an apocalyptic number.

53200289961000 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 53200289961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116399749939200).

53200289961000 is an abundant number, since it is smaller than the sum of its proper divisors (179599209917400).

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

53200289961000 is a wasteful number, since it uses less digits than its factorization.

53200289961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 53200289961000 in words is "fifty-three trillion, two hundred billion, two hundred eighty-nine million, nine hundred sixty-one thousand".