87416868000 has 768 divisors, whose sum is σ = 361393643520. Its totient is φ = 17943552000.

The previous prime is 87416867999. The next prime is 87416868001. The reversal of 87416868000 is 86861478.

It is an interprime number because it is at equal distance from previous prime (87416867999) and next prime (87416868001).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (87416868001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82235469 + ... + 82236531.

It is an arithmetic number, because the mean of its divisors is an integer number (470564640).

Almost surely, 2^87416868000 is an apocalyptic number.

87416868000 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 87416868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180696821760).

87416868000 is an abundant number, since it is smaller than the sum of its proper divisors (273976775520).

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

87416868000 is a wasteful number, since it uses less digits than its factorization.

87416868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 87416868000 in words is "eighty-seven billion, four hundred sixteen million, eight hundred sixty-eight thousand".