20892913726464 has 528 divisors, whose sum is σ = 65582796726720. Its totient is φ = 6368087900160.

The previous prime is 20892913726463. The next prime is 20892913726499. The reversal of 20892913726464 is 46462731929802.

20892913726464 is a `hidden beast` number, since 2 + 0 + 8 + 92 + 9 + 13 + 72 + 6 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20892913726463) 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, 6026220859 + ... + 6026224325.

Almost surely, 2^{20892913726464} is an apocalyptic number.

20892913726464 is a gapful number since it is divisible by the number (24) 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 20892913726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32791398363360).

20892913726464 is an abundant number, since it is smaller than the sum of its proper divisors (44689883000256).

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

20892913726464 is a wasteful number, since it uses less digits than its factorization.

20892913726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

It can be divided in two parts, 2089291 and 3726464, that added together give a triangular number (5815755 = T₃₄₁₀).

The spelling of 20892913726464 in words is "twenty trillion, eight hundred ninety-two billion, nine hundred thirteen million, seven hundred twenty-six thousand, four hundred sixty-four".