10362106353552 has 160 divisors (see below), whose sum is σ = 29852460213120. Its totient is φ = 3077974056960.

The previous prime is 10362106353541. The next prime is 10362106353559. The reversal of 10362106353552 is 25535360126301.

10362106353552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10362106353552³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10362106353559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26675602 + ... + 27061262.

It is an arithmetic number, because the mean of its divisors is an integer number (186577876332).

Almost surely, 2^{10362106353552} is an apocalyptic number.

10362106353552 is a gapful number since it is divisible by the number (12) 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 10362106353552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926230106560).

10362106353552 is an abundant number, since it is smaller than the sum of its proper divisors (19490353859568).

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

10362106353552 is a wasteful number, since it uses less digits than its factorization.

10362106353552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387441 (or 387435 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

Adding to 10362106353552 its reverse (25535360126301), we get a palindrome (35897466479853).

The spelling of 10362106353552 in words is "ten trillion, three hundred sixty-two billion, one hundred six million, three hundred fifty-three thousand, five hundred fifty-two".