10160632224 has 120 divisors (see below), whose sum is σ = 29963878560. Its totient is φ = 3377614464.

The previous prime is 10160632213. The next prime is 10160632231. The reversal of 10160632224 is 42223606101.

10160632224 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 632 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 977197 + ... + 987539.

It is an arithmetic number, because the mean of its divisors is an integer number (249698988).

Almost surely, 2^10160632224 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 10160632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981939280).

10160632224 is an abundant number, since it is smaller than the sum of its proper divisors (19803246336).

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

10160632224 is a wasteful number, since it uses less digits than its factorization.

10160632224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10744 (or 10727 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10160632224 in words is "ten billion, one hundred sixty million, six hundred thirty-two thousand, two hundred twenty-four".