5504156064 has 288 divisors, whose sum is σ = 17848434240. Its totient is φ = 1654732800.

The previous prime is 5504156033. The next prime is 5504156071. The reversal of 5504156064 is 4606514055.

5504156064 is a `hidden beast` number, since 5 + 5 + 0 + 41 + 5 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19587604 + ... + 19587884.

It is an arithmetic number, because the mean of its divisors is an integer number (61973730).

Almost surely, 2^5504156064 is an apocalyptic number.

5504156064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5504156064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8924217120).

5504156064 is an abundant number, since it is smaller than the sum of its proper divisors (12344278176).

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

5504156064 is a wasteful number, since it uses less digits than its factorization.

5504156064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5504156064 is about 74189.9997573797. Note that the first 3 decimals coincide. The cubic root of 5504156064 is about 1765.6186724952.

Adding to 5504156064 its sum of digits (36), we get a square (5504156100 = 74190²).

The spelling of 5504156064 in words is "five billion, five hundred four million, one hundred fifty-six thousand, sixty-four".