10000878347520 has 360 divisors, whose sum is σ = 35792373133440. Its totient is φ = 2666349342720.

The previous prime is 10000878347519. The next prime is 10000878347531. The reversal of 10000878347520 is 2574387800001.

10000878347520 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 8 + 7 + 83 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 853384221 + ... + 853395939.

It is an arithmetic number, because the mean of its divisors is an integer number (99423258704).

Almost surely, 2^{10000878347520} is an apocalyptic number.

10000878347520 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 10000878347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17896186566720).

10000878347520 is an abundant number, since it is smaller than the sum of its proper divisors (25791494785920).

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

10000878347520 is an equidigital number, since it uses as much as digits as its factorization.

10000878347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19983 (or 19960 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10000878347520 in words is "ten trillion, eight hundred seventy-eight million, three hundred forty-seven thousand, five hundred twenty".