53625775104 has 396 divisors, whose sum is σ = 179228278320. Its totient is φ = 15388876800.

The previous prime is 53625775061. The next prime is 53625775109. The reversal of 53625775104 is 40157752635.

It is a happy number.

53625775104 is a `hidden beast` number, since 5 + 3 + 62 + 5 + 77 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a self number, because there is not a number n which added to its sum of digits gives 53625775104.

It is not an unprimeable number, because it can be changed into a prime (53625775109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21186319 + ... + 21188849.

Almost surely, 2^53625775104 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 53625775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89614139160).

53625775104 is an abundant number, since it is smaller than the sum of its proper divisors (125602503216).

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

53625775104 is a wasteful number, since it uses less digits than its factorization.

53625775104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 53625775104 in words is "fifty-three billion, six hundred twenty-five million, seven hundred seventy-five thousand, one hundred four".