5523781586400 has 2880 divisors, whose sum is σ = 26482784993280. Its totient is φ = 1086375628800.

The previous prime is 5523781586339. The next prime is 5523781586429. The reversal of 5523781586400 is 46851873255.

5523781586400 is a `hidden beast` number, since 5 + 52 + 3 + 7 + 8 + 1 + 586 + 4 + 0 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 14574621411 + ... + 14574621789.

It is an arithmetic number, because the mean of its divisors is an integer number (9195411456).

Almost surely, 2^{5523781586400} is an apocalyptic number.

5523781586400 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 5523781586400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13241392496640).

5523781586400 is an abundant number, since it is smaller than the sum of its proper divisors (20959003406880).

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

5523781586400 is a wasteful number, since it uses less digits than its factorization.

5523781586400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 5523781586400 in words is "five trillion, five hundred twenty-three billion, seven hundred eighty-one million, five hundred eighty-six thousand, four hundred".