8716653950400 has 1008 divisors, whose sum is σ = 35500582227040. Its totient is φ = 2078410752000.

The previous prime is 8716653950371. The next prime is 8716653950401. The reversal of 8716653950400 is 40593566178.

8716653950400 is a `hidden beast` number, since 8 + 7 + 1 + 66 + 539 + 5 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8716653950401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 318845532 + ... + 318872868.

Almost surely, 2^{8716653950400} is an apocalyptic number.

8716653950400 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 8716653950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750291113520).

8716653950400 is an abundant number, since it is smaller than the sum of its proper divisors (26783928276640).

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

8716653950400 is a wasteful number, since it uses less digits than its factorization.

8716653950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27451 (or 27419 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

It can be divided in two parts, 871665 and 3950400, that added together give a triangular number (4822065 = T₃₁₀₅).

The spelling of 8716653950400 in words is "eight trillion, seven hundred sixteen billion, six hundred fifty-three million, nine hundred fifty thousand, four hundred".