53126056183104 has 168 divisors, whose sum is σ = 152453748325320. Its totient is φ = 17688052150272.

The previous prime is 53126056183073. The next prime is 53126056183117. The reversal of 53126056183104 is 40138165062135.

53126056183104 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 6 + 0 + 561 + 83 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 755939824704 + 52370116358400 = 869448^2 + 7236720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53126056183104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3115341042 + ... + 3115358094.

Almost surely, 2^{53126056183104} 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 53126056183104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76226874162660).

53126056183104 is an abundant number, since it is smaller than the sum of its proper divisors (99327692142216).

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

53126056183104 is a wasteful number, since it uses less digits than its factorization.

53126056183104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23057 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 53126056183104 in words is "fifty-three trillion, one hundred twenty-six billion, fifty-six million, one hundred eighty-three thousand, one hundred four".