53145703800 has 1008 divisors, whose sum is σ = 221794052040. Its totient is φ = 11796503040.

The previous prime is 53145703783. The next prime is 53145703811. The reversal of 53145703800 is 830754135.

53145703800 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 570 + 3 + 80 + 0 = 666.

It is a super-3 number, since 3×53145703800³ (a number of 33 digits) contains 333 as substring.

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 polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 307200514 + ... + 307200686.

Almost surely, 2^53145703800 is an apocalyptic number.

53145703800 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 53145703800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110897026020).

53145703800 is an abundant number, since it is smaller than the sum of its proper divisors (168648348240).

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

53145703800 is a wasteful number, since it uses less digits than its factorization.

53145703800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 53145703800 in words is "fifty-three billion, one hundred forty-five million, seven hundred three thousand, eight hundred".