4661759252160 has 1120 divisors, whose sum is σ = 18372170520000. Its totient is φ = 1116699623424.

The previous prime is 4661759252123. The next prime is 4661759252201. The reversal of 4661759252160 is 612529571664.

4661759252160 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 7 + 59 + 2 + 521 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4661759252097 and 4661759252106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1137289791 + ... + 1137293889.

Almost surely, 2^{4661759252160} is an apocalyptic number.

4661759252160 is a gapful number since it is divisible by the number (40) 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 4661759252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186085260000).

4661759252160 is an abundant number, since it is smaller than the sum of its proper divisors (13710411267840).

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

4661759252160 is a wasteful number, since it uses less digits than its factorization.

4661759252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 4661759252160 in words is "four trillion, six hundred sixty-one billion, seven hundred fifty-nine million, two hundred fifty-two thousand, one hundred sixty".