53967374383104 has 576 divisors, whose sum is σ = 192802349376000. Its totient is φ = 14161542709248.

The previous prime is 53967374383099. The next prime is 53967374383193. The reversal of 53967374383104 is 40138347376935.

53967374383104 is a `hidden beast` number, since 5 + 3 + 9 + 67 + 37 + 438 + 3 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×53967374383104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333704247 + ... + 333865929.

It is an arithmetic number, because the mean of its divisors is an integer number (334726301000).

Almost surely, 2^{53967374383104} 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 53967374383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96401174688000).

53967374383104 is an abundant number, since it is smaller than the sum of its proper divisors (138834974992896).

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

53967374383104 is a wasteful number, since it uses less digits than its factorization.

53967374383104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161930 (or 161907 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 53967374383104 in words is "fifty-three trillion, nine hundred sixty-seven billion, three hundred seventy-four million, three hundred eighty-three thousand, one hundred four".