5640588912000 has 512 divisors, whose sum is σ = 21381165711360. Its totient is φ = 1288590336000.

The previous prime is 5640588911983. The next prime is 5640588912019. The reversal of 5640588912000 is 2198850465.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 899468865 + ... + 899475135.

It is an arithmetic number, because the mean of its divisors is an integer number (41760089280).

Almost surely, 2^{5640588912000} is an apocalyptic number.

5640588912000 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 5640588912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10690582855680).

5640588912000 is an abundant number, since it is smaller than the sum of its proper divisors (15740576799360).

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

5640588912000 is a wasteful number, since it uses less digits than its factorization.

5640588912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8987 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 5640588912000 in words is "five trillion, six hundred forty billion, five hundred eighty-eight million, nine hundred twelve thousand".