1215979672320 has 1440 divisors, whose sum is σ = 5242477363200. Its totient is φ = 268728606720.

The previous prime is 1215979672319. The next prime is 1215979672343. The reversal of 1215979672320 is 232769795121.

1215979672320 is a `hidden beast` number, since 1 + 2 + 1 + 597 + 9 + 6 + 7 + 23 + 20 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1102428889 + ... + 1102429991.

It is an arithmetic number, because the mean of its divisors is an integer number (3640609280).

Almost surely, 2^{1215979672320} is an apocalyptic number.

1215979672320 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 1215979672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621238681600).

1215979672320 is an abundant number, since it is smaller than the sum of its proper divisors (4026497690880).

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

1215979672320 is an equidigital number, since it uses as much as digits as its factorization.

1215979672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 1215979672320 in words is "one trillion, two hundred fifteen billion, nine hundred seventy-nine million, six hundred seventy-two thousand, three hundred twenty".