5526986400 has 468 divisors, whose sum is σ = 21795976062. Its totient is φ = 1360488960.

The previous prime is 5526986393. The next prime is 5526986459. The reversal of 5526986400 is 46896255.

5526986400 is a `hidden beast` number, since 5 + 526 + 9 + 86 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3069603216 + 2457383184 = 55404^2 + 49572^2 .

It is a tau number, because it is divible by the number of its divisors (468).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 77 ways as a sum of consecutive naturals, for example, 425152794 + ... + 425152806.

Almost surely, 2^5526986400 is an apocalyptic number.

5526986400 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 5526986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10897988031).

5526986400 is an abundant number, since it is smaller than the sum of its proper divisors (16268989662).

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

5526986400 is an frugal number, since it uses more digits than its factorization.

5526986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5526986400 is about 74343.7045081828. The cubic root of 5526986400 is about 1768.0564705590.

The spelling of 5526986400 in words is "five billion, five hundred twenty-six million, nine hundred eighty-six thousand, four hundred".