86788973700 has 432 divisors, whose sum is σ = 320424616512. Its totient is φ = 19370880000.

The previous prime is 86788973657. The next prime is 86788973741. The reversal of 86788973700 is 737988768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73487110 + ... + 73488290.

Almost surely, 2^86788973700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86788973700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160212308256).

86788973700 is an abundant number, since it is smaller than the sum of its proper divisors (233635642812).

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

86788973700 is a wasteful number, since it uses less digits than its factorization.

86788973700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 86788973700 in words is "eighty-six billion, seven hundred eighty-eight million, nine hundred seventy-three thousand, seven hundred".