86649937920 has 1680 divisors, whose sum is σ = 398641247928. Its totient is φ = 17836277760.

The previous prime is 86649937883. The next prime is 86649937973. The reversal of 86649937920 is 2973994668.

It can be written as a sum of positive squares in 4 ways, for example, as 30059237376 + 56590700544 = 173376^2 + 237888^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2113413100 + ... + 2113413140.

Almost surely, 2^86649937920 is an apocalyptic number.

86649937920 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 86649937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199320623964).

86649937920 is an abundant number, since it is smaller than the sum of its proper divisors (311991310008).

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

86649937920 is a wasteful number, since it uses less digits than its factorization.

86649937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 86649937920 in words is "eighty-six billion, six hundred forty-nine million, nine hundred thirty-seven thousand, nine hundred twenty".