1541218560 has 216 divisors, whose sum is σ = 5726601216. Its totient is φ = 352235520.

The previous prime is 1541218541. The next prime is 1541218579. The reversal of 1541218560 is 658121451.

It is an interprime number because it is at equal distance from previous prime (1541218541) and next prime (1541218579).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184065 + ... + 192255.

Almost surely, 2^1541218560 is an apocalyptic number.

1541218560 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 1541218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863300608).

1541218560 is an abundant number, since it is smaller than the sum of its proper divisors (4185382656).

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

1541218560 is an equidigital number, since it uses as much as digits as its factorization.

1541218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 1541218560 is about 39258.3565626479. The cubic root of 1541218560 is about 1155.1048573305.

The spelling of 1541218560 in words is "one billion, five hundred forty-one million, two hundred eighteen thousand, five hundred sixty".