53536664160 has 288 divisors, whose sum is σ = 209227898880. Its totient is φ = 12211467264.

The previous prime is 53536664149. The next prime is 53536664171. The reversal of 53536664160 is 6146663535.

It is an interprime number because it is at equal distance from previous prime (53536664149) and next prime (53536664171).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 5064961 + ... + 5075519.

It is an arithmetic number, because the mean of its divisors is an integer number (726485760).

Almost surely, 2^53536664160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53536664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613949440).

53536664160 is an abundant number, since it is smaller than the sum of its proper divisors (155691234720).

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

53536664160 is a wasteful number, since it uses less digits than its factorization.

53536664160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 53536664160 in words is "fifty-three billion, five hundred thirty-six million, six hundred sixty-four thousand, one hundred sixty".