53688927600 has 1440 divisors, whose sum is σ = 253674478080. Its totient is φ = 10644480000.

The previous prime is 53688927583. The next prime is 53688927613. The reversal of 53688927600 is 672988635.

It is a happy number.

53688927600 is a `hidden beast` number, since 5 + 3 + 6 + 8 + 8 + 9 + 27 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133887400 + ... + 133887800.

It is an arithmetic number, because the mean of its divisors is an integer number (176162832).

Almost surely, 2^53688927600 is an apocalyptic number.

53688927600 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 53688927600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126837239040).

53688927600 is an abundant number, since it is smaller than the sum of its proper divisors (199985550480).

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

53688927600 is a wasteful number, since it uses less digits than its factorization.

53688927600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 53688927600 in words is "fifty-three billion, six hundred eighty-eight million, nine hundred twenty-seven thousand, six hundred".