20520100212352 has 64 divisors (see below), whose sum is σ = 44036939275560. Its totient is φ = 9468138147840.

The previous prime is 20520100212329. The next prime is 20520100212419. The reversal of 20520100212352 is 25321200102502.

It can be written as a sum of positive squares in 4 ways, for example, as 17257510574656 + 3262589637696 = 4154216^2 + 1806264^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 4150938 + ... + 7633510.

Almost surely, 2^{20520100212352} 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 20520100212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22018469637780).

20520100212352 is an abundant number, since it is smaller than the sum of its proper divisors (23516839063208).

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

20520100212352 is a wasteful number, since it uses less digits than its factorization.

20520100212352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486141 (or 3486129 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 20520100212352 its reverse (25321200102502), we get a palindrome (45841300314854).

The spelling of 20520100212352 in words is "twenty trillion, five hundred twenty billion, one hundred million, two hundred twelve thousand, three hundred fifty-two".