10164121968 has 240 divisors, whose sum is σ = 35523504128. Its totient is φ = 2436825600.

The previous prime is 10164121951. The next prime is 10164121987. The reversal of 10164121968 is 86912146101.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 518913 + ... + 538143.

Almost surely, 2^10164121968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164121968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761752064).

10164121968 is an abundant number, since it is smaller than the sum of its proper divisors (25359382160).

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

10164121968 is a wasteful number, since it uses less digits than its factorization.

10164121968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19284 (or 19267 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 10164121968 in words is "ten billion, one hundred sixty-four million, one hundred twenty-one thousand, nine hundred sixty-eight".