53458315200 has 210 divisors, whose sum is σ = 196499795976. Its totient is φ = 14255516160.

The previous prime is 53458315199. The next prime is 53458315213. The reversal of 53458315200 is 251385435.

53458315200 is a `hidden beast` number, since 53 + 4 + 5 + 83 + 1 + 520 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 29 ways as a sum of consecutive naturals, for example, 76644 + ... + 335843.

Almost surely, 2^53458315200 is an apocalyptic number.

53458315200 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 53458315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98249897988).

53458315200 is an abundant number, since it is smaller than the sum of its proper divisors (143041480776).

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

53458315200 is a wasteful number, since it uses less digits than its factorization.

53458315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412521 (or 412497 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 53458315200 in words is "fifty-three billion, four hundred fifty-eight million, three hundred fifteen thousand, two hundred".