5546888648640 has 896 divisors, whose sum is σ = 21080732682240. Its totient is φ = 1369549209600.

The previous prime is 5546888648633. The next prime is 5546888648647. The reversal of 5546888648640 is 468468886455.

5546888648640 is a `hidden beast` number, since 5 + 5 + 4 + 68 + 8 + 86 + 486 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5546888648633) and next prime (5546888648647).

It is a super-2 number, since 2×5546888648640² (a number of 26 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 not an unprimeable number, because it can be changed into a prime (5546888648647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1067322522 + ... + 1067327718.

It is an arithmetic number, because the mean of its divisors is an integer number (23527603440).

Almost surely, 2^{5546888648640} 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 5546888648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540366341120).

5546888648640 is an abundant number, since it is smaller than the sum of its proper divisors (15533844033600).

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

5546888648640 is a wasteful number, since it uses less digits than its factorization.

5546888648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 1415577600, while the sum is 72.

The spelling of 5546888648640 in words is "five trillion, five hundred forty-six billion, eight hundred eighty-eight million, six hundred forty-eight thousand, six hundred forty".