15132993384960 has 640 divisors, whose sum is σ = 60004208056320. Its totient is φ = 3583280332800.

The previous prime is 15132993384913. The next prime is 15132993384979. The reversal of 15132993384960 is 6948339923151.

15132993384960 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 29 + 93 + 38 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32462325 + ... + 32925195.

It is an arithmetic number, because the mean of its divisors is an integer number (93756575088).

Almost surely, 2^{15132993384960} is an apocalyptic number.

15132993384960 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 15132993384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30002104028160).

15132993384960 is an abundant number, since it is smaller than the sum of its proper divisors (44871214671360).

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

15132993384960 is a wasteful number, since it uses less digits than its factorization.

15132993384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462957 (or 462935 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 15132993384960 in words is "fifteen trillion, one hundred thirty-two billion, nine hundred ninety-three million, three hundred eighty-four thousand, nine hundred sixty".