15381610325532 has 216 divisors, whose sum is σ = 45401144823216. Its totient is φ = 4547407392000.

The previous prime is 15381610325531. The next prime is 15381610325617. The reversal of 15381610325532 is 23552301618351.

15381610325532 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 1 + 6 + 103 + 2 + 5 + 532 = 666.

It is a super-2 number, since 2×15381610325532² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15381610325531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3227182 + ... + 6417002.

Almost surely, 2^{15381610325532} is an apocalyptic number.

15381610325532 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 15381610325532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22700572411608).

15381610325532 is an abundant number, since it is smaller than the sum of its proper divisors (30019534497684).

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

15381610325532 is a wasteful number, since it uses less digits than its factorization.

15381610325532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189903 (or 3189878 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 15381610325532 in words is "fifteen trillion, three hundred eighty-one billion, six hundred ten million, three hundred twenty-five thousand, five hundred thirty-two".