8416611655200 has 1152 divisors, whose sum is σ = 37367608320000. Its totient is φ = 1822513996800.

The previous prime is 8416611655121. The next prime is 8416611655253. The reversal of 8416611655200 is 25561166148.

8416611655200 is a `hidden beast` number, since 8 + 4 + 1 + 6 + 6 + 116 + 5 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 140737305 + ... + 140797095.

It is an arithmetic number, because the mean of its divisors is an integer number (32437160000).

Almost surely, 2^{8416611655200} is an apocalyptic number.

8416611655200 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 8416611655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18683804160000).

8416611655200 is an abundant number, since it is smaller than the sum of its proper divisors (28950996664800).

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

8416611655200 is a wasteful number, since it uses less digits than its factorization.

8416611655200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59860 (or 59827 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 8416611655200 in words is "eight trillion, four hundred sixteen billion, six hundred eleven million, six hundred fifty-five thousand, two hundred".