10634586160 has 80 divisors (see below), whose sum is σ = 26997870240. Its totient is φ = 3863582720.

The previous prime is 10634586101. The next prime is 10634586161. The reversal of 10634586160 is 6168543601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10634586160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10634586161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076604 + ... + 1086436.

It is an arithmetic number, because the mean of its divisors is an integer number (337473378).

Almost surely, 2^10634586160 is an apocalyptic number.

10634586160 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 10634586160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13498935120).

10634586160 is an abundant number, since it is smaller than the sum of its proper divisors (16363284080).

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

10634586160 is a wasteful number, since it uses less digits than its factorization.

10634586160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11086 (or 11080 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 10634586160 in words is "ten billion, six hundred thirty-four million, five hundred eighty-six thousand, one hundred sixty".