5952061440 has 720 divisors, whose sum is σ = 24045211008. Its totient is φ = 1401421824.

The previous prime is 5952061439. The next prime is 5952061457. The reversal of 5952061440 is 441602595.

5952061440 is a `hidden beast` number, since 5 + 9 + 5 + 206 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5952061395 and 5952061404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258785269 + ... + 258785291.

Almost surely, 2^5952061440 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 5952061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12022605504).

5952061440 is an abundant number, since it is smaller than the sum of its proper divisors (18093149568).

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

5952061440 is an equidigital number, since it uses as much as digits as its factorization.

5952061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5952061440 is about 77149.6042763668. The cubic root of 5952061440 is about 1812.2681941520.

The spelling of 5952061440 in words is "five billion, nine hundred fifty-two million, sixty-one thousand, four hundred forty".