10144502160 has 240 divisors, whose sum is σ = 34570626624. Its totient is φ = 2459179008.

The previous prime is 10144502149. The next prime is 10144502171. The reversal of 10144502160 is 6120544101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10144502149) and next prime (10144502171).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10144502160.

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, 2715654 + ... + 2719386.

Almost surely, 2^10144502160 is an apocalyptic number.

10144502160 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 10144502160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17285313312).

10144502160 is an abundant number, since it is smaller than the sum of its proper divisors (24426124464).

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

10144502160 is a wasteful number, since it uses less digits than its factorization.

10144502160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10144502160 in words is "ten billion, one hundred forty-four million, five hundred two thousand, one hundred sixty".