53688614400 has 720 divisors, whose sum is σ = 204597561168. Its totient is φ = 13934592000.

The previous prime is 53688614387. The next prime is 53688614417. The reversal of 53688614400 is 441688635.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127526190 + ... + 127526610.

Almost surely, 2^53688614400 is an apocalyptic number.

53688614400 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 53688614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102298780584).

53688614400 is an abundant number, since it is smaller than the sum of its proper divisors (150908946768).

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

53688614400 is an equidigital number, since it uses as much as digits as its factorization.

53688614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 53688614400 in words is "fifty-three billion, six hundred eighty-eight million, six hundred fourteen thousand, four hundred".