5552640000 has 390 divisors, whose sum is σ = 20125499966. Its totient is φ = 1474560000.

The previous prime is 5552639969. The next prime is 5552640031. The reversal of 5552640000 is 462555.

It is an interprime number because it is at equal distance from previous prime (5552639969) and next prime (5552640031).

It can be written as a sum of positive squares in 5 ways, for example, as 1489342464 + 4063297536 = 38592^2 + 63744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23039880 + ... + 23040120.

Almost surely, 2^5552640000 is an apocalyptic number.

5552640000 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 5552640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10062749983).

5552640000 is an abundant number, since it is smaller than the sum of its proper divisors (14572859966).

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

5552640000 is an equidigital number, since it uses as much as digits as its factorization.

5552640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5552640000 is about 74516.0385420481. The cubic root of 5552640000 is about 1770.7877370805.

The spelling of 5552640000 in words is "five billion, five hundred fifty-two million, six hundred forty thousand".