20985746162472 has 288 divisors, whose sum is σ = 75389973258600. Its totient is φ = 5209131368448.

The previous prime is 20985746162449. The next prime is 20985746162569. The reversal of 20985746162472 is 27426164758902.

20985746162472 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 5 + 7 + 4 + 616 + 2 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20932326934596 + 53419227876 = 4575186^2 + 231126^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12678097 + ... + 14237472.

Almost surely, 2^{20985746162472} is an apocalyptic number.

It is an amenable number.

20985746162472 is an abundant number, since it is smaller than the sum of its proper divisors (54404227096128).

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

20985746162472 is a wasteful number, since it uses less digits than its factorization.

20985746162472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26915625 (or 26915611 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 20985746162472 in words is "twenty trillion, nine hundred eighty-five billion, seven hundred forty-six million, one hundred sixty-two thousand, four hundred seventy-two".