5965438555440 has 2560 divisors, whose sum is σ = 27471281725440. Its totient is φ = 1154389377024.

The previous prime is 5965438555421. The next prime is 5965438555463. The reversal of 5965438555440 is 445558345695.

5965438555440 is a `hidden beast` number, since 5 + 9 + 6 + 5 + 4 + 3 + 85 + 5 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 37996423842 + ... + 37996423998.

It is an arithmetic number, because the mean of its divisors is an integer number (10730969424).

Almost surely, 2^{5965438555440} 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 5965438555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735640862720).

5965438555440 is an abundant number, since it is smaller than the sum of its proper divisors (21505843170000).

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

5965438555440 is a wasteful number, since it uses less digits than its factorization.

5965438555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 259200000, while the sum is 63.

The spelling of 5965438555440 in words is "five trillion, nine hundred sixty-five billion, four hundred thirty-eight million, five hundred fifty-five thousand, four hundred forty".