53759945189808 has 640 divisors, whose sum is σ = 189396537845760. Its totient is φ = 14366745169920.

The previous prime is 53759945189791. The next prime is 53759945189837. The reversal of 53759945189808 is 80898154995735.

53759945189808 is a `hidden beast` number, since 5 + 3 + 7 + 5 + 9 + 9 + 4 + 518 + 98 + 0 + 8 = 666.

It is a super-2 number, since 2×53759945189808² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1211961166 + ... + 1212005522.

It is an arithmetic number, because the mean of its divisors is an integer number (295932090384).

Almost surely, 2^{53759945189808} 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 53759945189808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94698268922880).

53759945189808 is an abundant number, since it is smaller than the sum of its proper divisors (135636592655952).

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

53759945189808 is a wasteful number, since it uses less digits than its factorization.

53759945189808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45274 (or 45262 counting only the distinct ones).

The product of its (nonzero) digits is 3919104000, while the sum is 81.

The spelling of 53759945189808 in words is "fifty-three trillion, seven hundred fifty-nine billion, nine hundred forty-five million, one hundred eighty-nine thousand, eight hundred eight".