396109218176560 has 960 divisors, whose sum is σ = 1269461834956800. Its totient is φ = 113641967222784.

The previous prime is 396109218176513. The next prime is 396109218176603. The reversal of 396109218176560 is 65671812901693.

It is a super-2 number, since 2×396109218176560² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 396109218176492 and 396109218176501.

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, 1543320721 + ... + 1543577359.

It is an arithmetic number, because the mean of its divisors is an integer number (1322356078080).

Almost surely, 2^{396109218176560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396109218176560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634730917478400).

396109218176560 is an abundant number, since it is smaller than the sum of its proper divisors (873352616780240).

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

396109218176560 is a wasteful number, since it uses less digits than its factorization.

396109218176560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256778 (or 256765 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

The spelling of 396109218176560 in words is "three hundred ninety-six trillion, one hundred nine billion, two hundred eighteen million, one hundred seventy-six thousand, five hundred sixty".