5965457472000 has 1440 divisors, whose sum is σ = 23938611737040. Its totient is φ = 1419337728000.

The previous prime is 5965457471977. The next prime is 5965457472017. The reversal of 5965457472000 is 2747545695.

It is a happy number.

5965457472000 is a `hidden beast` number, since 5 + 9 + 6 + 545 + 74 + 7 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3031163136 + 5962426308864 = 55056^2 + 2441808^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7195967586 + ... + 7195968414.

Almost surely, 2^{5965457472000} is an apocalyptic number.

5965457472000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5965457472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969305868520).

5965457472000 is an abundant number, since it is smaller than the sum of its proper divisors (17973154265040).

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

5965457472000 is a wasteful number, since it uses less digits than its factorization.

5965457472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 5965457472000 in words is "five trillion, nine hundred sixty-five billion, four hundred fifty-seven million, four hundred seventy-two thousand".