53966654300160 has 4032 divisors, whose sum is σ = 250220569277952. Its totient is φ = 11065626722304.

The previous prime is 53966654300159. The next prime is 53966654300179. The reversal of 53966654300160 is 6100345666935.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a junction number, because it is equal to n+sod(n) for n = 53966654300097 and 53966654300106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 190694891379 + ... + 190694891661.

It is an arithmetic number, because the mean of its divisors is an integer number (62058672936).

Almost surely, 2^{53966654300160} 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 53966654300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125110284638976).

53966654300160 is an abundant number, since it is smaller than the sum of its proper divisors (196253914977792).

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

53966654300160 is a wasteful number, since it uses less digits than its factorization.

53966654300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 53966654300160 in words is "fifty-three trillion, nine hundred sixty-six billion, six hundred fifty-four million, three hundred thousand, one hundred sixty".