53714261600 has 288 divisors, whose sum is σ = 142936164000. Its totient is φ = 19641139200.

The previous prime is 53714261551. The next prime is 53714261603. The reversal of 53714261600 is 616241735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53714261603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83797280 + ... + 83797920.

It is an arithmetic number, because the mean of its divisors is an integer number (496306125).

Almost surely, 2^53714261600 is an apocalyptic number.

53714261600 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 53714261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71468082000).

53714261600 is an abundant number, since it is smaller than the sum of its proper divisors (89221902400).

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

53714261600 is a wasteful number, since it uses less digits than its factorization.

53714261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 53714261600 in words is "fifty-three billion, seven hundred fourteen million, two hundred sixty-one thousand, six hundred".