10610460601272 has 384 divisors, whose sum is σ = 34793775244800. Its totient is φ = 2856544717824.

The previous prime is 10610460601261. The next prime is 10610460601283. The reversal of 10610460601272 is 27210606401601.

10610460601272 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 46 + 0 + 601 + 2 + 7 + 2 = 666.

10610460601272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10610460601261) and next prime (10610460601283).

It is a super-2 number, since 2×10610460601272² (a number of 27 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821427358 + ... + 821440274.

It is an arithmetic number, because the mean of its divisors is an integer number (90608789700).

Almost surely, 2^{10610460601272} is an apocalyptic number.

10610460601272 is a gapful number since it is divisible by the number (12) 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 10610460601272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396887622400).

10610460601272 is an abundant number, since it is smaller than the sum of its proper divisors (24183314643528).

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

10610460601272 is a wasteful number, since it uses less digits than its factorization.

10610460601272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14315 (or 14308 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10610460601272 in words is "ten trillion, six hundred ten billion, four hundred sixty million, six hundred one thousand, two hundred seventy-two".