86728112640 has 400 divisors, whose sum is σ = 334537916328. Its totient is φ = 21347794944.

The previous prime is 86728112521. The next prime is 86728112657. The reversal of 86728112640 is 4621182768.

It can be written as a sum of positive squares in 4 ways, for example, as 49882542336 + 36845570304 = 223344^2 + 191952^2 .

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

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, 2679594 + ... + 2711766.

Almost surely, 2^86728112640 is an apocalyptic number.

86728112640 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 86728112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167268958164).

86728112640 is an abundant number, since it is smaller than the sum of its proper divisors (247809803688).

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

86728112640 is a wasteful number, since it uses less digits than its factorization.

86728112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32221 (or 32196 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 86728112640 in words is "eighty-six billion, seven hundred twenty-eight million, one hundred twelve thousand, six hundred forty".