15075248217120 has 1440 divisors, whose sum is σ = 68201597395008. Its totient is φ = 3106668515328.

The previous prime is 15075248217089. The next prime is 15075248217137. The reversal of 15075248217120 is 2171284257051.

15075248217120 is a `hidden beast` number, since 1 + 5 + 0 + 75 + 248 + 217 + 120 = 666.

15075248217120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×15075248217120² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 354966127 + ... + 355008593.

Almost surely, 2^{15075248217120} is an apocalyptic number.

15075248217120 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 15075248217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34100798697504).

15075248217120 is an abundant number, since it is smaller than the sum of its proper divisors (53126349177888).

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

15075248217120 is a wasteful number, since it uses less digits than its factorization.

15075248217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42564 (or 42540 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 15075248217120 in words is "fifteen trillion, seventy-five billion, two hundred forty-eight million, two hundred seventeen thousand, one hundred twenty".