5482527638400 has 480 divisors, whose sum is σ = 20242477054800. Its totient is φ = 1461231083520.

The previous prime is 5482527638347. The next prime is 5482527638417. The reversal of 5482527638400 is 48367252845.

5482527638400 is a `hidden beast` number, since 5 + 4 + 8 + 252 + 7 + 6 + 384 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 620261181 + ... + 620270019.

Almost surely, 2^{5482527638400} is an apocalyptic number.

5482527638400 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 5482527638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10121238527400).

5482527638400 is an abundant number, since it is smaller than the sum of its proper divisors (14759949416400).

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

5482527638400 is a wasteful number, since it uses less digits than its factorization.

5482527638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11268 (or 11242 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 5482527638400 in words is "five trillion, four hundred eighty-two billion, five hundred twenty-seven million, six hundred thirty-eight thousand, four hundred".