164800252512 has 192 divisors, whose sum is σ = 568277337600. Its totient is φ = 45462090240.

The previous prime is 164800252457. The next prime is 164800252537. The reversal of 164800252512 is 215252008461.

164800252512 is a `hidden beast` number, since 1 + 64 + 80 + 0 + 2 + 5 + 2 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294414 + ... + 645197.

It is an arithmetic number, because the mean of its divisors is an integer number (2959777800).

Almost surely, 2^164800252512 is an apocalyptic number.

164800252512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164800252512 is an abundant number, since it is smaller than the sum of its proper divisors (403477085088).

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

164800252512 is a wasteful number, since it uses less digits than its factorization.

164800252512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939666 (or 939652 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 164800252512 in words is "one hundred sixty-four billion, eight hundred million, two hundred fifty-two thousand, five hundred twelve".