5631753245040 has 1920 divisors, whose sum is σ = 22602953318400. Its totient is φ = 1293408829440.

The previous prime is 5631753245021. The next prime is 5631753245087. The reversal of 5631753245040 is 405423571365.

5631753245040 is a `hidden beast` number, since 5 + 6 + 31 + 7 + 532 + 45 + 0 + 40 = 666.

It is a super-2 number, since 2×5631753245040² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 41107687852 + ... + 41107687988.

It is an arithmetic number, because the mean of its divisors is an integer number (11772371520).

Almost surely, 2^{5631753245040} 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 5631753245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11301476659200).

5631753245040 is an abundant number, since it is smaller than the sum of its proper divisors (16971200073360).

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

5631753245040 is a wasteful number, since it uses less digits than its factorization.

5631753245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 5631753245040 in words is "five trillion, six hundred thirty-one billion, seven hundred fifty-three million, two hundred forty-five thousand, forty".