164027505096 has 576 divisors, whose sum is σ = 600231340800. Its totient is φ = 39974860800.

The previous prime is 164027505067. The next prime is 164027505101. The reversal of 164027505096 is 690505720461.

164027505096 is a `hidden beast` number, since 16 + 40 + 2 + 7 + 505 + 0 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35725761 + ... + 35730351.

It is an arithmetic number, because the mean of its divisors is an integer number (1042068300).

Almost surely, 2^164027505096 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 164027505096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300115670400).

164027505096 is an abundant number, since it is smaller than the sum of its proper divisors (436203835704).

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

164027505096 is a wasteful number, since it uses less digits than its factorization.

164027505096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 164027505096 in words is "one hundred sixty-four billion, twenty-seven million, five hundred five thousand, ninety-six".