878920519680 has 2496 divisors, whose sum is σ = 4098446138880. Its totient is φ = 174285914112.

The previous prime is 878920519669. The next prime is 878920519703. The reversal of 878920519680 is 86915029878.

It is a happy number.

It is a super-2 number, since 2×878920519680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 23754608622 + ... + 23754608658.

Almost surely, 2^878920519680 is an apocalyptic number.

878920519680 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 878920519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049223069440).

878920519680 is an abundant number, since it is smaller than the sum of its proper divisors (3219525619200).

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

878920519680 is a wasteful number, since it uses less digits than its factorization.

878920519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 878920519680 in words is "eight hundred seventy-eight billion, nine hundred twenty million, five hundred nineteen thousand, six hundred eighty".