20145852974976 has 128 divisors (see below), whose sum is σ = 55380375475200. Its totient is φ = 6481064368128.

The previous prime is 20145852974899. The next prime is 20145852974981. The reversal of 20145852974976 is 67947925854102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 20145852974976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26880141 + ... + 27619443.

It is an arithmetic number, because the mean of its divisors is an integer number (432659183400).

Almost surely, 2^{20145852974976} 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 20145852974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27690187737600).

20145852974976 is an abundant number, since it is smaller than the sum of its proper divisors (35234522500224).

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

20145852974976 is a wasteful number, since it uses less digits than its factorization.

20145852974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741796 (or 741784 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 69.

The spelling of 20145852974976 in words is "twenty trillion, one hundred forty-five billion, eight hundred fifty-two million, nine hundred seventy-four thousand, nine hundred seventy-six".