10164968367840 has 2160 divisors, whose sum is σ = 43793452954944. Its totient is φ = 2204666449920.

The previous prime is 10164968367833. The next prime is 10164968368003. The reversal of 10164968367840 is 4876386946101.

It is a happy number.

10164968367840 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 496 + 8 + 3 + 67 + 84 + 0 = 666.

10164968367840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 98689013229 + ... + 98689013331.

Almost surely, 2^{10164968367840} is an apocalyptic number.

10164968367840 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 10164968367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21896726477472).

10164968367840 is an abundant number, since it is smaller than the sum of its proper divisors (33628484587104).

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

10164968367840 is a wasteful number, since it uses less digits than its factorization.

10164968367840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 10164968367840 in words is "ten trillion, one hundred sixty-four billion, nine hundred sixty-eight million, three hundred sixty-seven thousand, eight hundred forty".