876953541520 has 320 divisors, whose sum is σ = 2441443737600. Its totient is φ = 286634557440.

The previous prime is 876953541491. The next prime is 876953541521. The reversal of 876953541520 is 25145359678.

It is not an unprimeable number, because it can be changed into a prime (876953541521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402455791 + ... + 402457969.

It is an arithmetic number, because the mean of its divisors is an integer number (7629511680).

It is a 1-persistent number, because it is pandigital, but 2⋅876953541520 = 1753907083040 is not.

Almost surely, 2^876953541520 is an apocalyptic number.

876953541520 is a gapful number since it is divisible by the number (80) 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 876953541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220721868800).

876953541520 is an abundant number, since it is smaller than the sum of its proper divisors (1564490196080).

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

876953541520 is a wasteful number, since it uses less digits than its factorization.

876953541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 876953541520 in words is "eight hundred seventy-six billion, nine hundred fifty-three million, five hundred forty-one thousand, five hundred twenty".