15213009732480 has 1536 divisors, whose sum is σ = 66566011299840. Its totient is φ = 3119409266688.

The previous prime is 15213009732449. The next prime is 15213009732527. The reversal of 15213009732480 is 8423790031251.

It is a happy number.

15213009732480 is a `hidden beast` number, since 1 + 5 + 2 + 130 + 0 + 9 + 7 + 32 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4934481019 + ... + 4934484101.

It is an arithmetic number, because the mean of its divisors is an integer number (43337246940).

Almost surely, 2^{15213009732480} is an apocalyptic number.

15213009732480 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 15213009732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33283005649920).

15213009732480 is an abundant number, since it is smaller than the sum of its proper divisors (51353001567360).

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

15213009732480 is a wasteful number, since it uses less digits than its factorization.

15213009732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 15213009732480 in words is "fifteen trillion, two hundred thirteen billion, nine million, seven hundred thirty-two thousand, four hundred eighty".