164810987250 has 512 divisors, whose sum is σ = 521711124480. Its totient is φ = 33729408000.

The previous prime is 164810987219. The next prime is 164810987293. The reversal of 164810987250 is 52789018461.

It is a junction number, because it is equal to n+sod(n) for n = 164810987193 and 164810987202.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 612680116 + ... + 612680384.

It is an arithmetic number, because the mean of its divisors is an integer number (1018967040).

Almost surely, 2^164810987250 is an apocalyptic number.

164810987250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164810987250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260855562240).

164810987250 is an abundant number, since it is smaller than the sum of its proper divisors (356900137230).

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

164810987250 is a wasteful number, since it uses less digits than its factorization.

164810987250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 164810987250 in words is "one hundred sixty-four billion, eight hundred ten million, nine hundred eighty-seven thousand, two hundred fifty".