5526384566400 has 576 divisors, whose sum is σ = 20778540400800. Its totient is φ = 1394708889600.

The previous prime is 5526384566387. The next prime is 5526384566413. The reversal of 5526384566400 is 46654836255.

5526384566400 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 38 + 4 + 566 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5526384566387) and next prime (5526384566413).

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 596990572 + ... + 596999828.

Almost surely, 2^{5526384566400} is an apocalyptic number.

5526384566400 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 5526384566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389270200400).

5526384566400 is an abundant number, since it is smaller than the sum of its proper divisors (15252155834400).

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

5526384566400 is a wasteful number, since it uses less digits than its factorization.

5526384566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10397 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 5526384566400 in words is "five trillion, five hundred twenty-six billion, three hundred eighty-four million, five hundred sixty-six thousand, four hundred".