20723740591680 has 1120 divisors, whose sum is σ = 85161437577216. Its totient is φ = 4685847957504.

The previous prime is 20723740591649. The next prime is 20723740591691. The reversal of 20723740591680 is 8619504732702.

It is a happy number.

20723740591680 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 3 + 7 + 40 + 591 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×20723740591680² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6757005507 + ... + 6757008573.

It is a 1-persistent number, because it is pandigital, but 2⋅20723740591680 = 41447481183360 is not.

Almost surely, 2^{20723740591680} is an apocalyptic number.

20723740591680 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 20723740591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42580718788608).

20723740591680 is an abundant number, since it is smaller than the sum of its proper divisors (64437696985536).

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

20723740591680 is a wasteful number, since it uses less digits than its factorization.

20723740591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 20723740591680 in words is "twenty trillion, seven hundred twenty-three billion, seven hundred forty million, five hundred ninety-one thousand, six hundred eighty".