20027496652128 has 1728 divisors, whose sum is σ = 74026719486720. Its totient is φ = 5300196249600.

The previous prime is 20027496652127. The next prime is 20027496652133. The reversal of 20027496652128 is 82125669472002.

20027496652128 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 7 + 4 + 96 + 6 + 521 + 28 = 666.

It is a super-2 number, since 2×20027496652128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20027496652127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28983352263 + ... + 28983352953.

It is an arithmetic number, because the mean of its divisors is an integer number (42839536740).

Almost surely, 2^{20027496652128} is an apocalyptic number.

20027496652128 is a gapful number since it is divisible by the number (28) 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 20027496652128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013359743360).

20027496652128 is an abundant number, since it is smaller than the sum of its proper divisors (53999222834592).

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

20027496652128 is a wasteful number, since it uses less digits than its factorization.

20027496652128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 20027496652128 in words is "twenty trillion, twenty-seven billion, four hundred ninety-six million, six hundred fifty-two thousand, one hundred twenty-eight".