15387285987072 has 432 divisors, whose sum is σ = 45941411748960. Its totient is φ = 4950370713600.

The previous prime is 15387285987071. The next prime is 15387285987079. The reversal of 15387285987072 is 27078958278351.

15387285987072 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 7 + 28 + 598 + 7 + 0 + 7 + 2 = 666.

It is a super-3 number, since 3×15387285987072³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15387285987071) 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, 5613747622 + ... + 5613750362.

It is an arithmetic number, because the mean of its divisors is an integer number (106345860530).

Almost surely, 2^{15387285987072} is an apocalyptic number.

15387285987072 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 15387285987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22970705874480).

15387285987072 is an abundant number, since it is smaller than the sum of its proper divisors (30554125761888).

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

15387285987072 is a wasteful number, since it uses less digits than its factorization.

15387285987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 474163200, while the sum is 72.

The spelling of 15387285987072 in words is "fifteen trillion, three hundred eighty-seven billion, two hundred eighty-five million, nine hundred eighty-seven thousand, seventy-two".