5515776000 has 1040 divisors, whose sum is σ = 24738130560. Its totient is φ = 1194393600.

The previous prime is 5515775939. The next prime is 5515776037. The reversal of 5515776000 is 6775155.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290303991 + ... + 290304009.

It is an arithmetic number, because the mean of its divisors is an integer number (23786664).

Almost surely, 2^5515776000 is an apocalyptic number.

5515776000 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 5515776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369065280).

5515776000 is an abundant number, since it is smaller than the sum of its proper divisors (19222354560).

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

5515776000 is an equidigital number, since it uses as much as digits as its factorization.

5515776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 5515776000 is about 74268.2704793911. The cubic root of 5515776000 is about 1766.8602770290.

The spelling of 5515776000 in words is "five billion, five hundred fifteen million, seven hundred seventy-six thousand".