20001226752 has 512 divisors, whose sum is σ = 66940070400. Its totient is φ = 5860491264.

The previous prime is 20001226709. The next prime is 20001226823. The reversal of 20001226752 is 25762210002.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425557993 + ... + 425558039.

It is an arithmetic number, because the mean of its divisors is an integer number (130742325).

Almost surely, 2^20001226752 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 20001226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33470035200).

20001226752 is an abundant number, since it is smaller than the sum of its proper divisors (46938843648).

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

20001226752 is an equidigital number, since it uses as much as digits as its factorization.

20001226752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 20001226752 its reverse (25762210002), we get a palindrome (45763436754).

It can be divided in two parts, 20001 and 226752, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 20001226752 in words is "twenty billion, one million, two hundred twenty-six thousand, seven hundred fifty-two".