15006160740 has 96 divisors (see below), whose sum is σ = 42453984384. Its totient is φ = 3960232960.

The previous prime is 15006160739. The next prime is 15006160811. The reversal of 15006160740 is 4706160051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15006160698 and 15006160707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2849710 + ... + 2854970.

It is an arithmetic number, because the mean of its divisors is an integer number (442229004).

Almost surely, 2^15006160740 is an apocalyptic number.

15006160740 is a gapful number since it is divisible by the number (10) 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 15006160740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21226992192).

15006160740 is an abundant number, since it is smaller than the sum of its proper divisors (27447823644).

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

15006160740 is a wasteful number, since it uses less digits than its factorization.

15006160740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5755 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 15006160740 in words is "fifteen billion, six million, one hundred sixty thousand, seven hundred forty".