20527326167040 has 2736 divisors, whose sum is σ = 95100058220544. Its totient is φ = 4127824281600.

The previous prime is 20527326167017. The next prime is 20527326167059. The reversal of 20527326167040 is 4076162372502.

20527326167040 is a `hidden beast` number, since 2 + 0 + 5 + 27 + 3 + 2 + 616 + 7 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×20527326167040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 662171811825 + ... + 662171811855.

Almost surely, 2^{20527326167040} is an apocalyptic number.

20527326167040 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 20527326167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47550029110272).

20527326167040 is an abundant number, since it is smaller than the sum of its proper divisors (74572732053504).

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

20527326167040 is an frugal number, since it uses more digits than its factorization.

20527326167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 20527326167040 in words is "twenty trillion, five hundred twenty-seven billion, three hundred twenty-six million, one hundred sixty-seven thousand, forty".