5956104960 has 504 divisors, whose sum is σ = 23082638544. Its totient is φ = 1463132160.

The previous prime is 5956104893. The next prime is 5956105027. The reversal of 5956104960 is 694016595.

It is a happy number.

5956104960 is a `hidden beast` number, since 595 + 6 + 10 + 49 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5956104893) and next prime (5956105027).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12130315 + ... + 12130805.

It is an arithmetic number, because the mean of its divisors is an integer number (45798886).

Almost surely, 2^5956104960 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 5956104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11541319272).

5956104960 is an abundant number, since it is smaller than the sum of its proper divisors (17126533584).

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

5956104960 is an equidigital number, since it uses as much as digits as its factorization.

5956104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5956104960 is about 77175.8055351546. The cubic root of 5956104960 is about 1812.6784880746.

The spelling of 5956104960 in words is "five billion, nine hundred fifty-six million, one hundred four thousand, nine hundred sixty".