10860272640 has 1056 divisors, whose sum is σ = 47210042880. Its totient is φ = 2341011456.

The previous prime is 10860272629. The next prime is 10860272663. The reversal of 10860272640 is 4627206801.

10860272640 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 0 + 2 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10860272595 and 10860272604.

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, 252564459 + ... + 252564501.

It is an arithmetic number, because the mean of its divisors is an integer number (44706480).

Almost surely, 2^10860272640 is an apocalyptic number.

10860272640 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 10860272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23605021440).

10860272640 is an abundant number, since it is smaller than the sum of its proper divisors (36349770240).

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

10860272640 is an equidigital number, since it uses as much as digits as its factorization.

10860272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10860272640 in words is "ten billion, eight hundred sixty million, two hundred seventy-two thousand, six hundred forty".