164255350400 has 192 divisors, whose sum is σ = 420424263000. Its totient is φ = 63335301120.

The previous prime is 164255350393. The next prime is 164255350403. The reversal of 164255350400 is 4053552461.

It can be written as a sum of positive squares in 12 ways, for example, as 87759424 + 164167590976 = 9368^2 + 405176^2 .

It is not an unprimeable number, because it can be changed into a prime (164255350403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86952656 + ... + 86954544.

Almost surely, 2^164255350400 is an apocalyptic number.

164255350400 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 164255350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210212131500).

164255350400 is an abundant number, since it is smaller than the sum of its proper divisors (256168912600).

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

164255350400 is a wasteful number, since it uses less digits than its factorization.

164255350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 164255350400 in words is "one hundred sixty-four billion, two hundred fifty-five million, three hundred fifty thousand, four hundred".