53153787609600 has 960 divisors, whose sum is σ = 189453137258880. Its totient is φ = 13087906201600.

The previous prime is 53153787609577. The next prime is 53153787609641. The reversal of 53153787609600 is 690678735135.

53153787609600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24688242124 + ... + 24688244276.

It is an arithmetic number, because the mean of its divisors is an integer number (197347017978).

Almost surely, 2^{53153787609600} is an apocalyptic number.

53153787609600 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 53153787609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94726568629440).

53153787609600 is an abundant number, since it is smaller than the sum of its proper divisors (136299349649280).

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

53153787609600 is a wasteful number, since it uses less digits than its factorization.

53153787609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 53153787609600 in words is "fifty-three trillion, one hundred fifty-three billion, seven hundred eighty-seven million, six hundred nine thousand, six hundred".