53761843200 has 672 divisors, whose sum is σ = 196583417856. Its totient is φ = 12881756160.

The previous prime is 53761843159. The next prime is 53761843237. The reversal of 53761843200 is 234816735.

It is a super-2 number, since 2×53761843200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423321537 + ... + 423321663.

It is an arithmetic number, because the mean of its divisors is an integer number (292534848).

Almost surely, 2^53761843200 is an apocalyptic number.

53761843200 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 53761843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98291708928).

53761843200 is an abundant number, since it is smaller than the sum of its proper divisors (142821574656).

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

53761843200 is a wasteful number, since it uses less digits than its factorization.

53761843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 53761843200 in words is "fifty-three billion, seven hundred sixty-one million, eight hundred forty-three thousand, two hundred".