86938905600 has 198 divisors, whose sum is σ = 311283236940. Its totient is φ = 23183646720.

The previous prime is 86938905589. The next prime is 86938905601. The reversal of 86938905600 is 650983968.

It is a super-2 number, since 2×86938905600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86938905601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41731 + ... + 419069.

Almost surely, 2^86938905600 is an apocalyptic number.

86938905600 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 86938905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155641618470).

86938905600 is an abundant number, since it is smaller than the sum of its proper divisors (224344331340).

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

86938905600 is a wasteful number, since it uses less digits than its factorization.

86938905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377375 (or 377349 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 86938905600 in words is "eighty-six billion, nine hundred thirty-eight million, nine hundred five thousand, six hundred".