549313591680 has 1536 divisors, whose sum is σ = 2383225528320. Its totient is φ = 118244966400.

The previous prime is 549313591663. The next prime is 549313591753. The reversal of 549313591680 is 86195313945.

549313591680 is a `hidden beast` number, since 5 + 49 + 3 + 1 + 3 + 591 + 6 + 8 + 0 = 666.

549313591680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1383661242 + ... + 1383661638.

It is an arithmetic number, because the mean of its divisors is an integer number (1551579120).

Almost surely, 2^549313591680 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 549313591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191612764160).

549313591680 is an abundant number, since it is smaller than the sum of its proper divisors (1833911936640).

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

549313591680 is a wasteful number, since it uses less digits than its factorization.

549313591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 549313591680 in words is "five hundred forty-nine billion, three hundred thirteen million, five hundred ninety-one thousand, six hundred eighty".