20731032725760 has 2304 divisors, whose sum is σ = 93057034291200. Its totient is φ = 4260888576000.

The previous prime is 20731032725729. The next prime is 20731032725813. The reversal of 20731032725760 is 6752723013702.

It is a happy number.

20731032725760 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 1 + 0 + 3 + 2 + 72 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12045921700 + ... + 12045923420.

It is an arithmetic number, because the mean of its divisors is an integer number (40389337800).

Almost surely, 2^{20731032725760} is an apocalyptic number.

20731032725760 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 20731032725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46528517145600).

20731032725760 is an abundant number, since it is smaller than the sum of its proper divisors (72326001565440).

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

20731032725760 is a wasteful number, since it uses less digits than its factorization.

20731032725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 20731032725760 in words is "twenty trillion, seven hundred thirty-one billion, thirty-two million, seven hundred twenty-five thousand, seven hundred sixty".