53486035200 has 324 divisors, whose sum is σ = 205937118660. Its totient is φ = 13165608960.

The previous prime is 53486035121. The next prime is 53486035201. The reversal of 53486035200 is 253068435.

It is a happy number.

53486035200 is a `hidden beast` number, since 5 + 3 + 48 + 603 + 5 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20023382016 + 33462653184 = 141504^2 + 182928^2 .

It is a super-2 number, since 2×53486035200² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53486035201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 713086 + ... + 784514.

Almost surely, 2^53486035200 is an apocalyptic number.

53486035200 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 53486035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102968559330).

53486035200 is an abundant number, since it is smaller than the sum of its proper divisors (152451083460).

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

53486035200 is a wasteful number, since it uses less digits than its factorization.

53486035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71474 (or 71452 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 53486035200 in words is "fifty-three billion, four hundred eighty-six million, thirty-five thousand, two hundred".