53661728500 has 192 divisors, whose sum is σ = 128020838400. Its totient is φ = 19574784000.

The previous prime is 53661728413. The next prime is 53661728563. The reversal of 53661728500 is 582716635.

It is a super-2 number, since 2×53661728500² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75686146 + ... + 75686854.

It is an arithmetic number, because the mean of its divisors is an integer number (666775200).

Almost surely, 2^53661728500 is an apocalyptic number.

53661728500 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 53661728500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64010419200).

53661728500 is an abundant number, since it is smaller than the sum of its proper divisors (74359109900).

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

53661728500 is a wasteful number, since it uses less digits than its factorization.

53661728500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 53661728500 in words is "fifty-three billion, six hundred sixty-one million, seven hundred twenty-eight thousand, five hundred".