15071065152 has 224 divisors, whose sum is σ = 48360689664. Its totient is φ = 4079462400.

The previous prime is 15071065127. The next prime is 15071065153. The reversal of 15071065152 is 25156017051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (15071065153) 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, 842283 + ... + 859989.

It is an arithmetic number, because the mean of its divisors is an integer number (215895936).

Almost surely, 2^15071065152 is an apocalyptic number.

15071065152 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 15071065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24180344832).

15071065152 is an abundant number, since it is smaller than the sum of its proper divisors (33289624512).

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

15071065152 is a wasteful number, since it uses less digits than its factorization.

15071065152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17777 (or 17767 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 33.

The spelling of 15071065152 in words is "fifteen billion, seventy-one million, sixty-five thousand, one hundred fifty-two".