10164640263152 has 80 divisors (see below), whose sum is σ = 20951715671040. Its totient is φ = 4769431027200.

The previous prime is 10164640263149. The next prime is 10164640263163. The reversal of 10164640263152 is 25136204646101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1250252 + ... + 4678932.

It is an arithmetic number, because the mean of its divisors is an integer number (261896445888).

Almost surely, 2^{10164640263152} 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 10164640263152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475857835520).

10164640263152 is an abundant number, since it is smaller than the sum of its proper divisors (10787075407888).

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

10164640263152 is a wasteful number, since it uses less digits than its factorization.

10164640263152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428902 (or 3428896 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 10164640263152 in words is "ten trillion, one hundred sixty-four billion, six hundred forty million, two hundred sixty-three thousand, one hundred fifty-two".