4723510160160 has 288 divisors, whose sum is σ = 17882383296960. Its totient is φ = 1125684787200.

The previous prime is 4723510160141. The next prime is 4723510160189. The reversal of 4723510160160 is 610610153274.

4723510160160 is a `hidden beast` number, since 4 + 7 + 2 + 35 + 10 + 1 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-5 number, since 5×4723510160160⁵ (a number of 65 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592571 + ... + 3461690.

It is an arithmetic number, because the mean of its divisors is an integer number (62091608670).

Almost surely, 2^{4723510160160} is an apocalyptic number.

4723510160160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4723510160160 is an abundant number, since it is smaller than the sum of its proper divisors (13158873136800).

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

4723510160160 is a wasteful number, since it uses less digits than its factorization.

4723510160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054352 (or 5054341 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 4723510160160 in words is "four trillion, seven hundred twenty-three billion, five hundred ten million, one hundred sixty thousand, one hundred sixty".