5546618415360 has 1440 divisors, whose sum is σ = 22054304498688. Its totient is φ = 1319884554240.

The previous prime is 5546618415341. The next prime is 5546618415367. The reversal of 5546618415360 is 635148166455.

5546618415360 is a `hidden beast` number, since 5 + 5 + 4 + 6 + 61 + 8 + 41 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5546618415360² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5546618415297 and 5546618415306.

It is not an unprimeable number, because it can be changed into a prime (5546618415367) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24872728209 + ... + 24872728431.

Almost surely, 2^{5546618415360} 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 5546618415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027152249344).

5546618415360 is an abundant number, since it is smaller than the sum of its proper divisors (16507686083328).

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

5546618415360 is a wasteful number, since it uses less digits than its factorization.

5546618415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 5546618415360 in words is "five trillion, five hundred forty-six billion, six hundred eighteen million, four hundred fifteen thousand, three hundred sixty".