393415868160 has 576 divisors, whose sum is σ = 1598527042560. Its totient is φ = 89754255360.

The previous prime is 393415868123. The next prime is 393415868161. The reversal of 393415868160 is 61868514393.

393415868160 is a `hidden beast` number, since 3 + 9 + 3 + 41 + 586 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 393415868097 and 393415868106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393415868161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165230170 + ... + 165232550.

It is an arithmetic number, because the mean of its divisors is an integer number (2775220560).

Almost surely, 2^393415868160 is an apocalyptic number.

393415868160 is a gapful number since it is divisible by the number (30) 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 393415868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799263521280).

393415868160 is an abundant number, since it is smaller than the sum of its proper divisors (1205111174400).

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

393415868160 is a wasteful number, since it uses less digits than its factorization.

393415868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 393415868160 in words is "three hundred ninety-three billion, four hundred fifteen million, eight hundred sixty-eight thousand, one hundred sixty".