53842093200 has 360 divisors, whose sum is σ = 221451117888. Its totient is φ = 12306608640.

The previous prime is 53842093169. The next prime is 53842093241. The reversal of 53842093200 is 239024835.

53842093200 is a `hidden beast` number, since 53 + 84 + 209 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 640834 + ... + 719966.

Almost surely, 2^53842093200 is an apocalyptic number.

53842093200 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 53842093200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110725558944).

53842093200 is an abundant number, since it is smaller than the sum of its proper divisors (167609024688).

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

53842093200 is a wasteful number, since it uses less digits than its factorization.

53842093200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79173 (or 79150 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 53842093200 in words is "fifty-three billion, eight hundred forty-two million, ninety-three thousand, two hundred".