53087437065600 has 576 divisors, whose sum is σ = 224507449770240. Its totient is φ = 12134270085120.

The previous prime is 53087437065571. The next prime is 53087437065601. The reversal of 53087437065600 is 656073478035.

53087437065600 is a `hidden beast` number, since 5 + 3 + 0 + 8 + 7 + 4 + 3 + 70 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53087437065601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 566709 + ... + 10319691.

Almost surely, 2^{53087437065600} is an apocalyptic number.

53087437065600 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 53087437065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112253724885120).

53087437065600 is an abundant number, since it is smaller than the sum of its proper divisors (171420012704640).

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

53087437065600 is an equidigital number, since it uses as much as digits as its factorization.

53087437065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9753029 (or 9753000 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 53087437065600 in words is "fifty-three trillion, eighty-seven billion, four hundred thirty-seven million, sixty-five thousand, six hundred".