20256500839680 has 1728 divisors, whose sum is σ = 85308874560000. Its totient is φ = 4600087511040.

The previous prime is 20256500839651. The next prime is 20256500839697. The reversal of 20256500839680 is 8693800565202.

20256500839680 is a `hidden beast` number, since 2 + 0 + 2 + 56 + 500 + 8 + 3 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×20256500839680³ (a number of 41 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19310295796 + ... + 19310296844.

Almost surely, 2^{20256500839680} is an apocalyptic number.

20256500839680 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 20256500839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42654437280000).

20256500839680 is an abundant number, since it is smaller than the sum of its proper divisors (65052373720320).

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

20256500839680 is an equidigital number, since it uses as much as digits as its factorization.

20256500839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 20256500839680 in words is "twenty trillion, two hundred fifty-six billion, five hundred million, eight hundred thirty-nine thousand, six hundred eighty".