20267347250040 has 256 divisors, whose sum is σ = 66518168371200. Its totient is φ = 4899331852800.

The previous prime is 20267347250023. The next prime is 20267347250057. The reversal of 20267347250040 is 4005274376202.

It is an interprime number because it is at equal distance from previous prime (20267347250023) and next prime (20267347250057).

It is a junction number, because it is equal to n+sod(n) for n = 20267347249974 and 20267347250001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1433023209 + ... + 1433037351.

It is an arithmetic number, because the mean of its divisors is an integer number (259836595200).

Almost surely, 2^{20267347250040} is an apocalyptic number.

20267347250040 is a gapful number since it is divisible by the number (20) 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 20267347250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33259084185600).

20267347250040 is an abundant number, since it is smaller than the sum of its proper divisors (46250821121160).

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

20267347250040 is a wasteful number, since it uses less digits than its factorization.

20267347250040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17178 (or 17174 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 20267347250040 in words is "twenty trillion, two hundred sixty-seven billion, three hundred forty-seven million, two hundred fifty thousand, forty".