45775726202160 has 240 divisors, whose sum is σ = 155638628990208. Its totient is φ = 12055424832000.

The previous prime is 45775726202147. The next prime is 45775726202161. The reversal of 45775726202160 is 6120262757754.

45775726202160 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 5 + 7 + 2 + 620 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 45775726202097 and 45775726202106.

It is not an unprimeable number, because it can be changed into a prime (45775726202161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166652935 + ... + 166927385.

Almost surely, 2^{45775726202160} is an apocalyptic number.

45775726202160 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 45775726202160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77819314495104).

45775726202160 is an abundant number, since it is smaller than the sum of its proper divisors (109862902788048).

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

45775726202160 is a wasteful number, since it uses less digits than its factorization.

45775726202160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277344 (or 277335 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 45775726202160 in words is "forty-five trillion, seven hundred seventy-five billion, seven hundred twenty-six million, two hundred two thousand, one hundred sixty".