10735108272 has 60 divisors (see below), whose sum is σ = 34335309840. Its totient is φ = 3067173504.

The previous prime is 10735108249. The next prime is 10735108333. The reversal of 10735108272 is 27280153701.

10735108272 is a `hidden beast` number, since 1 + 0 + 73 + 510 + 8 + 2 + 72 = 666.

It is a super-2 number, since 2×10735108272² (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5323947 + ... + 5325962.

It is an arithmetic number, because the mean of its divisors is an integer number (572255164).

Almost surely, 2^10735108272 is an apocalyptic number.

10735108272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10735108272 is an abundant number, since it is smaller than the sum of its proper divisors (23600201568).

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

10735108272 is a wasteful number, since it uses less digits than its factorization.

10735108272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10649930 (or 10649921 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10735108272 in words is "ten billion, seven hundred thirty-five million, one hundred eight thousand, two hundred seventy-two".