1617501768960 has 1152 divisors, whose sum is σ = 6903398928384. Its totient is φ = 312441569280.

The previous prime is 1617501768947. The next prime is 1617501768973. The reversal of 1617501768960 is 698671057161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1617501768947) and next prime (1617501768973).

It is a self number, because there is not a number n which added to its sum of digits gives 1617501768960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 417202542 + ... + 417206418.

It is an arithmetic number, because the mean of its divisors is an integer number (5992533792).

Almost surely, 2^{1617501768960} is an apocalyptic number.

1617501768960 is a gapful number since it is divisible by the number (10) 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 1617501768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451699464192).

1617501768960 is an abundant number, since it is smaller than the sum of its proper divisors (5285897159424).

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

1617501768960 is a wasteful number, since it uses less digits than its factorization.

1617501768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 1617501768960 in words is "one trillion, six hundred seventeen billion, five hundred one million, seven hundred sixty-eight thousand, nine hundred sixty".