5375982542400 has 1512 divisors, whose sum is σ = 21565396869120. Its totient is φ = 1265539645440.

The previous prime is 5375982542377. The next prime is 5375982542449. The reversal of 5375982542400 is 42452895735.

5375982542400 is a `hidden beast` number, since 5 + 3 + 7 + 5 + 98 + 2 + 542 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11223345361 + ... + 11223345839.

Almost surely, 2^{5375982542400} is an apocalyptic number.

5375982542400 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 5375982542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782698434560).

5375982542400 is an abundant number, since it is smaller than the sum of its proper divisors (16189414326720).

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

5375982542400 is a wasteful number, since it uses less digits than its factorization.

5375982542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

It can be divided in two parts, 53759825 and 42400, that added together give a square (53802225 = 7335²).

The spelling of 5375982542400 in words is "five trillion, three hundred seventy-five billion, nine hundred eighty-two million, five hundred forty-two thousand, four hundred".