8407385255808 has 1024 divisors, whose sum is σ = 32823410688000. Its totient is φ = 2052356382720.

The previous prime is 8407385255767. The next prime is 8407385255911. The reversal of 8407385255808 is 8085525837048.

It is a happy number.

8407385255808 is a `hidden beast` number, since 8 + 4 + 0 + 73 + 8 + 5 + 2 + 558 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 642121710 + ... + 642134802.

It is an arithmetic number, because the mean of its divisors is an integer number (32054112000).

Almost surely, 2^{8407385255808} is an apocalyptic number.

8407385255808 is a gapful number since it is divisible by the number (88) 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 8407385255808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16411705344000).

8407385255808 is an abundant number, since it is smaller than the sum of its proper divisors (24416025432192).

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

8407385255808 is a wasteful number, since it uses less digits than its factorization.

8407385255808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13280 (or 13262 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 63.

The spelling of 8407385255808 in words is "eight trillion, four hundred seven billion, three hundred eighty-five million, two hundred fifty-five thousand, eight hundred eight".