15006152480 has 96 divisors (see below), whose sum is σ = 39498036480. Its totient is φ = 5340651520.

The previous prime is 15006152477. The next prime is 15006152549. The reversal of 15006152480 is 8425160051.

It is a super-2 number, since 2×15006152480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7985 + ... + 173424.

It is an arithmetic number, because the mean of its divisors is an integer number (411437880).

Almost surely, 2^15006152480 is an apocalyptic number.

15006152480 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 15006152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19749018240).

15006152480 is an abundant number, since it is smaller than the sum of its proper divisors (24491884000).

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

15006152480 is a wasteful number, since it uses less digits than its factorization.

15006152480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181482 (or 181474 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 15006152480 in words is "fifteen billion, six million, one hundred fifty-two thousand, four hundred eighty".