10149260160 has 256 divisors, whose sum is σ = 35085960000. Its totient is φ = 2480603136.

The previous prime is 10149260141. The next prime is 10149260179. The reversal of 10149260160 is 6106294101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10149260141) and next prime (10149260179).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3717676 + ... + 3720404.

Almost surely, 2^10149260160 is an apocalyptic number.

10149260160 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 10149260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542980000).

10149260160 is an abundant number, since it is smaller than the sum of its proper divisors (24936699840).

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

10149260160 is a wasteful number, since it uses less digits than its factorization.

10149260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 10149260160 in words is "ten billion, one hundred forty-nine million, two hundred sixty thousand, one hundred sixty".