8678511206400 has 2016 divisors, whose sum is σ = 36550474048512. Its totient is φ = 1803445862400.

The previous prime is 8678511206381. The next prime is 8678511206401. The reversal of 8678511206400 is 46021158768.

It is a super-2 number, since 2×8678511206400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8678511206400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8678511206401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15865650927 + ... + 15865651473.

Almost surely, 2^{8678511206400} is an apocalyptic number.

8678511206400 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 8678511206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18275237024256).

8678511206400 is an abundant number, since it is smaller than the sum of its proper divisors (27871962842112).

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

8678511206400 is a wasteful number, since it uses less digits than its factorization.

8678511206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 8678511206400 in words is "eight trillion, six hundred seventy-eight billion, five hundred eleven million, two hundred six thousand, four hundred".