86793772665600 has 5184 divisors, whose sum is σ = 436461451345920. Its totient is φ = 16479048499200.

The previous prime is 86793772665577. The next prime is 86793772665641. The reversal of 86793772665600 is 656627739768.

86793772665600 is a `hidden beast` number, since 8 + 6 + 7 + 9 + 3 + 7 + 7 + 2 + 6 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 197707910181 + ... + 197707910619.

Almost surely, 2^{86793772665600} is an apocalyptic number.

86793772665600 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 86793772665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218230725672960).

86793772665600 is an abundant number, since it is smaller than the sum of its proper divisors (349667678680320).

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

86793772665600 is a wasteful number, since it uses less digits than its factorization.

86793772665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

It can be divided in two parts, 867937 and 72665600, that added together give a palindrome (73533537).

The spelling of 86793772665600 in words is "eighty-six trillion, seven hundred ninety-three billion, seven hundred seventy-two million, six hundred sixty-five thousand, six hundred".