5964249957120 has 3600 divisors, whose sum is σ = 28513776207840. Its totient is φ = 1179869773824.

The previous prime is 5964249957097. The next prime is 5964249957157. The reversal of 5964249957120 is 217599424695.

5964249957120 is a `hidden beast` number, since 5 + 96 + 4 + 2 + 499 + 57 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 61487112912 + ... + 61487113008.

Almost surely, 2^{5964249957120} 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 5964249957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256888103920).

5964249957120 is an abundant number, since it is smaller than the sum of its proper divisors (22549526250720).

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

5964249957120 is an equidigital number, since it uses as much as digits as its factorization.

5964249957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 5964249957120 in words is "five trillion, nine hundred sixty-four billion, two hundred forty-nine million, nine hundred fifty-seven thousand, one hundred twenty".