53345449777680 has 120 divisors (see below), whose sum is σ = 179276303082240. Its totient is φ = 14215567345920.

The previous prime is 53345449777673. The next prime is 53345449777727. The reversal of 53345449777680 is 8677794454335.

53345449777680 is a `hidden beast` number, since 5 + 3 + 3 + 4 + 5 + 4 + 497 + 77 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×53345449777680³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 53345449777599 and 53345449777608.

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 23 ways as a sum of consecutive naturals, for example, 24707806 + ... + 26779965.

It is an arithmetic number, because the mean of its divisors is an integer number (1493969192352).

Almost surely, 2^{53345449777680} is an apocalyptic number.

It is an amenable number.

53345449777680 is an abundant number, since it is smaller than the sum of its proper divisors (125930853304560).

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

53345449777680 is a wasteful number, since it uses less digits than its factorization.

53345449777680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51489229 (or 51489220 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 72.

The spelling of 53345449777680 in words is "fifty-three trillion, three hundred forty-five billion, four hundred forty-nine million, seven hundred seventy-seven thousand, six hundred eighty".