1505881082880 has 880 divisors, whose sum is σ = 5752362147840. Its totient is φ = 375824351232.

The previous prime is 1505881082879. The next prime is 1505881082917. The reversal of 1505881082880 is 882801885051.

It is a happy number.

1505881082880 is a `hidden beast` number, since 1 + 50 + 588 + 1 + 0 + 8 + 2 + 8 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 448310641 + ... + 448313999.

It is an arithmetic number, because the mean of its divisors is an integer number (6536775168).

Almost surely, 2^{1505881082880} is an apocalyptic number.

1505881082880 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 1505881082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876181073920).

1505881082880 is an abundant number, since it is smaller than the sum of its proper divisors (4246481064960).

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

1505881082880 is a wasteful number, since it uses less digits than its factorization.

1505881082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 54.

The spelling of 1505881082880 in words is "one trillion, five hundred five billion, eight hundred eighty-one million, eighty-two thousand, eight hundred eighty".