13521860352 has 972 divisors, whose sum is σ = 54325816272. Its totient is φ = 3162931200.

The previous prime is 13521860347. The next prime is 13521860357. The reversal of 13521860352 is 25306812531.

13521860352 is a `hidden beast` number, since 1 + 3 + 521 + 86 + 0 + 3 + 52 = 666.

13521860352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13521860347) and next prime (13521860357).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13521860357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 329801452 + ... + 329801492.

Almost surely, 2^13521860352 is an apocalyptic number.

13521860352 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 13521860352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27162908136).

13521860352 is an abundant number, since it is smaller than the sum of its proper divisors (40803955920).

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

13521860352 is a wasteful number, since it uses less digits than its factorization.

13521860352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13521860352 in words is "thirteen billion, five hundred twenty-one million, eight hundred sixty thousand, three hundred fifty-two".