10162032960 has 224 divisors, whose sum is σ = 35440680960. Its totient is φ = 2455529472.

The previous prime is 10162032953. The next prime is 10162032971. The reversal of 10162032960 is 6923026101.

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, 407409 + ... + 431631.

Almost surely, 2^10162032960 is an apocalyptic number.

10162032960 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 10162032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720340480).

10162032960 is an abundant number, since it is smaller than the sum of its proper divisors (25278648000).

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

10162032960 is a wasteful number, since it uses less digits than its factorization.

10162032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24285 (or 24275 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 10162032960 in words is "ten billion, one hundred sixty-two million, thirty-two thousand, nine hundred sixty".