5590006240896 has 768 divisors, whose sum is σ = 21179202969600. Its totient is φ = 1371061002240.

The previous prime is 5590006240843. The next prime is 5590006240927. The reversal of 5590006240896 is 6980426000955.

It is a happy number.

5590006240896 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 0 + 0 + 624 + 0 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 534258961 + ... + 534269423.

It is an arithmetic number, because the mean of its divisors is an integer number (27577087200).

Almost surely, 2^{5590006240896} is an apocalyptic number.

5590006240896 is a gapful number since it is divisible by the number (56) 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 5590006240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10589601484800).

5590006240896 is an abundant number, since it is smaller than the sum of its proper divisors (15589196728704).

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

5590006240896 is a wasteful number, since it uses less digits than its factorization.

5590006240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10837 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5590006240896 in words is "five trillion, five hundred ninety billion, six million, two hundred forty thousand, eight hundred ninety-six".