5432002560 has 576 divisors, whose sum is σ = 20391134400. Its totient is φ = 1385496576.

The previous prime is 5432002519. The next prime is 5432002561. The reversal of 5432002560 is 652002345.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5432002561) 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 47 ways as a sum of consecutive naturals, for example, 92067811 + ... + 92067869.

It is an arithmetic number, because the mean of its divisors is an integer number (35401275).

Almost surely, 2^5432002560 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 5432002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195567200).

5432002560 is an abundant number, since it is smaller than the sum of its proper divisors (14959131840).

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

5432002560 is an equidigital number, since it uses as much as digits as its factorization.

5432002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5432002560 is about 73702.1204579624. The cubic root of 5432002560 is about 1757.8695985933.

The spelling of 5432002560 in words is "five billion, four hundred thirty-two million, two thousand, five hundred sixty".