5482579502400 has 4032 divisors, whose sum is σ = 26038625088000. Its totient is φ = 1001432678400.

The previous prime is 5482579502369. The next prime is 5482579502431. The reversal of 5482579502400 is 42059752845.

It is an interprime number because it is at equal distance from previous prime (5482579502369) and next prime (5482579502431).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 75103828764 + ... + 75103828836.

Almost surely, 2^{5482579502400} is an apocalyptic number.

5482579502400 is a gapful number since it is divisible by the number (50) 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 5482579502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13019312544000).

5482579502400 is an abundant number, since it is smaller than the sum of its proper divisors (20556045585600).

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

5482579502400 is a wasteful number, since it uses less digits than its factorization.

5482579502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 5482579502400 in words is "five trillion, four hundred eighty-two billion, five hundred seventy-nine million, five hundred two thousand, four hundred".