164107053855360 has 1280 divisors, whose sum is σ = 730895372697600. Its totient is φ = 34089516195840.

The previous prime is 164107053855347. The next prime is 164107053855391. The reversal of 164107053855360 is 63558350701461.

164107053855360 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 0 + 70 + 5 + 38 + 5 + 536 + 0 = 666.

It is a super-2 number, since 2×164107053855360² (a number of 29 digits) contains 22 as substring.

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 = 164107053855297 and 164107053855306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24265419339 + ... + 24265426101.

It is an arithmetic number, because the mean of its divisors is an integer number (571012009920).

Almost surely, 2^{164107053855360} is an apocalyptic number.

164107053855360 is a gapful number since it is divisible by the number (10) 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 164107053855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365447686348800).

164107053855360 is an abundant number, since it is smaller than the sum of its proper divisors (566788318842240).

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

164107053855360 is a wasteful number, since it uses less digits than its factorization.

164107053855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12891 (or 12870 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 164107053855360 in words is "one hundred sixty-four trillion, one hundred seven billion, fifty-three million, eight hundred fifty-five thousand, three hundred sixty".