164287535040 has 224 divisors, whose sum is σ = 586084680000. Its totient is φ = 43317559296.

The previous prime is 164287535017. The next prime is 164287535047. The reversal of 164287535040 is 40535782461.

164287535040 is a `hidden beast` number, since 1 + 64 + 2 + 87 + 5 + 3 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164287535047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662136 + ... + 875784.

Almost surely, 2^164287535040 is an apocalyptic number.

164287535040 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 164287535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293042340000).

164287535040 is an abundant number, since it is smaller than the sum of its proper divisors (421797144960).

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

164287535040 is a wasteful number, since it uses less digits than its factorization.

164287535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213764 (or 213748 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 164287535040 in words is "one hundred sixty-four billion, two hundred eighty-seven million, five hundred thirty-five thousand, forty".