53870342400 has 1296 divisors, whose sum is σ = 237392972544. Its totient is φ = 11386552320.

The previous prime is 53870342389. The next prime is 53870342419. The reversal of 53870342400 is 424307835.

It is a happy number.

53870342400 is a `hidden beast` number, since 5 + 387 + 0 + 34 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 343123122 + ... + 343123278.

Almost surely, 2^53870342400 is an apocalyptic number.

53870342400 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 53870342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118696486272).

53870342400 is an abundant number, since it is smaller than the sum of its proper divisors (183522630144).

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

53870342400 is a wasteful number, since it uses less digits than its factorization.

53870342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 53870342400 in words is "fifty-three billion, eight hundred seventy million, three hundred forty-two thousand, four hundred".