10181352960 has 240 divisors, whose sum is σ = 36795885984. Its totient is φ = 2596847616.

The previous prime is 10181352941. The next prime is 10181352967. The reversal of 10181352960 is 6925318101.

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

It is a super-2 number, since 2×10181352960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10181352967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520314 + ... + 539526.

Almost surely, 2^10181352960 is an apocalyptic number.

10181352960 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 10181352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18397942992).

10181352960 is an abundant number, since it is smaller than the sum of its proper divisors (26614533024).

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

10181352960 is a wasteful number, since it uses less digits than its factorization.

10181352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19265 (or 19246 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10181352960 in words is "ten billion, one hundred eighty-one million, three hundred fifty-two thousand, nine hundred sixty".