160264375663800 has 768 divisors, whose sum is σ = 555170866790400. Its totient is φ = 38082751948800.

The previous prime is 160264375663757. The next prime is 160264375663817. The reversal of 160264375663800 is 8366573462061.

160264375663800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 2004091417 + ... + 2004171383.

It is an arithmetic number, because the mean of its divisors is an integer number (722878732800).

Almost surely, 2^{160264375663800} is an apocalyptic number.

160264375663800 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 160264375663800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277585433395200).

160264375663800 is an abundant number, since it is smaller than the sum of its proper divisors (394906491126600).

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

160264375663800 is a wasteful number, since it uses less digits than its factorization.

160264375663800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80196 (or 80187 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 160264375663800 in words is "one hundred sixty trillion, two hundred sixty-four billion, three hundred seventy-five million, six hundred sixty-three thousand, eight hundred".