164235509760 has 544 divisors, whose sum is σ = 622094423040. Its totient is φ = 36201037824.

The previous prime is 164235509741. The next prime is 164235509821. The reversal of 164235509760 is 67905532461.

It is a super-2 number, since 2×164235509760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 199556709 + ... + 199557531.

Almost surely, 2^164235509760 is an apocalyptic number.

164235509760 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 164235509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311047211520).

164235509760 is an abundant number, since it is smaller than the sum of its proper divisors (457858913280).

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

164235509760 is an frugal number, since it uses more digits than its factorization.

164235509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 164235509760 in words is "one hundred sixty-four billion, two hundred thirty-five million, five hundred nine thousand, seven hundred sixty".