20810729952 has 288 divisors, whose sum is σ = 63486783360. Its totient is φ = 6701667840.

The previous prime is 20810729941. The next prime is 20810729969. The reversal of 20810729952 is 25992701802.

It is a happy number.

20810729952 is a `hidden beast` number, since 208 + 107 + 299 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20810729952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20810729898 and 20810729907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36445827 + ... + 36446397.

It is an arithmetic number, because the mean of its divisors is an integer number (220440220).

Almost surely, 2^20810729952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20810729952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31743391680).

20810729952 is an abundant number, since it is smaller than the sum of its proper divisors (42676053408).

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

20810729952 is a wasteful number, since it uses less digits than its factorization.

20810729952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 20810729952 in words is "twenty billion, eight hundred ten million, seven hundred twenty-nine thousand, nine hundred fifty-two".