5641235550720 has 960 divisors, whose sum is σ = 24522675091200. Its totient is φ = 1164283084800.

The previous prime is 5641235550719. The next prime is 5641235550733. The reversal of 5641235550720 is 270555321465.

It is a happy number.

5641235550720 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 23 + 5 + 550 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 264327250 + ... + 264348590.

It is an arithmetic number, because the mean of its divisors is an integer number (25544453220).

Almost surely, 2^{5641235550720} 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 5641235550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261337545600).

5641235550720 is an abundant number, since it is smaller than the sum of its proper divisors (18881439540480).

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

5641235550720 is a wasteful number, since it uses less digits than its factorization.

5641235550720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21537 (or 21518 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 5641235550720 in words is "five trillion, six hundred forty-one billion, two hundred thirty-five million, five hundred fifty thousand, seven hundred twenty".