15120282078720 has 4480 divisors, whose sum is σ = 72133383168000. Its totient is φ = 3012881743872.

The previous prime is 15120282078709. The next prime is 15120282078751. The reversal of 15120282078720 is 2787028202151.

15120282078720 is a `hidden beast` number, since 1 + 512 + 0 + 28 + 20 + 78 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×15120282078720² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 191395975641 + ... + 191395975719.

It is an arithmetic number, because the mean of its divisors is an integer number (16101201600).

Almost surely, 2^{15120282078720} is an apocalyptic number.

15120282078720 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 15120282078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36066691584000).

15120282078720 is an abundant number, since it is smaller than the sum of its proper divisors (57013101089280).

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

15120282078720 is an frugal number, since it uses more digits than its factorization.

15120282078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 15120282078720 in words is "fifteen trillion, one hundred twenty billion, two hundred eighty-two million, seventy-eight thousand, seven hundred twenty".