10025164168998 has 96 divisors (see below), whose sum is σ = 22357591280640. Its totient is φ = 2994015763200.

The previous prime is 10025164168969. The next prime is 10025164169021. The reversal of 10025164168998 is 89986146152001.

10025164168998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10025164168998² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142592638 + ... + 142662926.

It is an arithmetic number, because the mean of its divisors is an integer number (232891575840).

Almost surely, 2^{10025164168998} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10025164168998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11178795640320).

10025164168998 is an abundant number, since it is smaller than the sum of its proper divisors (12332427111642).

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

10025164168998 is a wasteful number, since it uses less digits than its factorization.

10025164168998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73154 (or 73143 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The spelling of 10025164168998 in words is "ten trillion, twenty-five billion, one hundred sixty-four million, one hundred sixty-eight thousand, nine hundred ninety-eight".