5631882510240 has 576 divisors, whose sum is σ = 24136656566400. Its totient is φ = 1219534589952.

The previous prime is 5631882510239. The next prime is 5631882510271. The reversal of 5631882510240 is 420152881365.

5631882510240 is a `hidden beast` number, since 5 + 6 + 3 + 18 + 82 + 510 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3321772 + ... + 4722068.

It is an arithmetic number, because the mean of its divisors is an integer number (41903917650).

Almost surely, 2^{5631882510240} 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 5631882510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068328283200).

5631882510240 is an abundant number, since it is smaller than the sum of its proper divisors (18504774056160).

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

5631882510240 is a wasteful number, since it uses less digits than its factorization.

5631882510240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400354 (or 1400333 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 5631882510240 in words is "five trillion, six hundred thirty-one billion, eight hundred eighty-two million, five hundred ten thousand, two hundred forty".