10520201252000 has 288 divisors, whose sum is σ = 28425853087632. Its totient is φ = 3823607040000.

The previous prime is 10520201251997. The next prime is 10520201252009. The reversal of 10520201252000 is 25210202501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 441836725264 + 10078364526736 = 664708^2 + 3174644^2 .

It is a super-2 number, since 2×10520201252000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10520201252009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1268559854 + ... + 1268568146.

Almost surely, 2^{10520201252000} is an apocalyptic number.

10520201252000 is a gapful number since it is divisible by the number (10) 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 10520201252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212926543816).

10520201252000 is an abundant number, since it is smaller than the sum of its proper divisors (17905651835632).

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

10520201252000 is a wasteful number, since it uses less digits than its factorization.

10520201252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10961 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 10520201252000 its reverse (25210202501), we get a palindrome (10545411454501).

The spelling of 10520201252000 in words is "ten trillion, five hundred twenty billion, two hundred one million, two hundred fifty-two thousand".