1541613672960 has 320 divisors, whose sum is σ = 5002291261440. Its totient is φ = 404943667200.

The previous prime is 1541613672931. The next prime is 1541613672997. The reversal of 1541613672960 is 692763161451.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645295446 + ... + 645297834.

It is an arithmetic number, because the mean of its divisors is an integer number (15632160192).

Almost surely, 2^{1541613672960} is an apocalyptic number.

1541613672960 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 1541613672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501145630720).

1541613672960 is an abundant number, since it is smaller than the sum of its proper divisors (3460677588480).

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

1541613672960 is a wasteful number, since it uses less digits than its factorization.

1541613672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 1541613672960 in words is "one trillion, five hundred forty-one billion, six hundred thirteen million, six hundred seventy-two thousand, nine hundred sixty".