5540088960 has 576 divisors, whose sum is σ = 23109952320. Its totient is φ = 1264564224.

The previous prime is 5540088947. The next prime is 5540088973. The reversal of 5540088960 is 698800455.

5540088960 is a `hidden beast` number, since 554 + 0 + 0 + 8 + 8 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5540088947) and next prime (5540088973).

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

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 71 ways as a sum of consecutive naturals, for example, 7620117 + ... + 7620843.

It is an arithmetic number, because the mean of its divisors is an integer number (40121445).

Almost surely, 2^5540088960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5540088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11554976160).

5540088960 is an abundant number, since it is smaller than the sum of its proper divisors (17569863360).

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

5540088960 is an equidigital number, since it uses as much as digits as its factorization.

5540088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5540088960 is about 74431.7738603615. The cubic root of 5540088960 is about 1769.4525166837.

The spelling of 5540088960 in words is "five billion, five hundred forty million, eighty-eight thousand, nine hundred sixty".