6552052416 has 1120 divisors, whose sum is σ = 27262287360. Its totient is φ = 1504935936.

The previous prime is 6552052411. The next prime is 6552052417. The reversal of 6552052416 is 6142502556.

It is a super-2 number, since 2×6552052416² = 85858781724022874112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6552052411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 152373291 + ... + 152373333.

It is an arithmetic number, because the mean of its divisors is an integer number (24341328).

Almost surely, 2^6552052416 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 6552052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631143680).

6552052416 is an abundant number, since it is smaller than the sum of its proper divisors (20710234944).

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

6552052416 is a wasteful number, since it uses less digits than its factorization.

6552052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

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

The square root of 6552052416 is about 80944.7491564462. The cubic root of 6552052416 is about 1871.2240373746.

The spelling of 6552052416 in words is "six billion, five hundred fifty-two million, fifty-two thousand, four hundred sixteen".