53909183913984 has 1008 divisors, whose sum is σ = 188437906902960. Its totient is φ = 14795192401920.

The previous prime is 53909183913931. The next prime is 53909183914039. The reversal of 53909183913984 is 48931938190935.

53909183913984 is a `hidden beast` number, since 53 + 9 + 0 + 9 + 183 + 9 + 1 + 398 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×53909183913984² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 71 ways as a sum of consecutive naturals, for example, 9476035812 + ... + 9476041500.

Almost surely, 2^{53909183913984} 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 53909183913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94218953451480).

53909183913984 is an abundant number, since it is smaller than the sum of its proper divisors (134528722988976).

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

53909183913984 is a wasteful number, since it uses less digits than its factorization.

53909183913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 53909183913984 in words is "fifty-three trillion, nine hundred nine billion, one hundred eighty-three million, nine hundred thirteen thousand, nine hundred eighty-four".