87208751710080 has 5120 divisors, whose sum is σ = 441775511654400. Its totient is φ = 15801031065600.

The previous prime is 87208751710061. The next prime is 87208751710081. The reversal of 87208751710080 is 8001715780278.

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 = 87208751709999 and 87208751710026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87208751710081) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 106222596070 + ... + 106222596890.

It is an arithmetic number, because the mean of its divisors is an integer number (86284279620).

Almost surely, 2^{87208751710080} is an apocalyptic number.

87208751710080 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 87208751710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220887755827200).

87208751710080 is an abundant number, since it is smaller than the sum of its proper divisors (354566759944320).

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

87208751710080 is a wasteful number, since it uses less digits than its factorization.

87208751710080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 54.

The spelling of 87208751710080 in words is "eighty-seven trillion, two hundred eight billion, seven hundred fifty-one million, seven hundred ten thousand, eighty".