8760005876160 has 896 divisors, whose sum is σ = 38593110804480. Its totient is φ = 1817225625600.

The previous prime is 8760005876159. The next prime is 8760005876161. The reversal of 8760005876160 is 616785000678.

It is an interprime number because it is at equal distance from previous prime (8760005876159) and next prime (8760005876161).

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

It is a junction number, because it is equal to n+sod(n) for n = 8760005876097 and 8760005876106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8760005876161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 410467090 + ... + 410488430.

Almost surely, 2^{8760005876160} is an apocalyptic number.

8760005876160 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 8760005876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19296555402240).

8760005876160 is an abundant number, since it is smaller than the sum of its proper divisors (29833104928320).

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

8760005876160 is a wasteful number, since it uses less digits than its factorization.

8760005876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22002 (or 21986 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 8760005876160 in words is "eight trillion, seven hundred sixty billion, five million, eight hundred seventy-six thousand, one hundred sixty".