10653355440 has 640 divisors, whose sum is σ = 45777070080. Its totient is φ = 2217259008.

The previous prime is 10653355411. The next prime is 10653355477. The reversal of 10653355440 is 4455335601.

10653355440 is a `hidden beast` number, since 1 + 0 + 65 + 3 + 3 + 554 + 40 = 666.

It is a super-2 number, since 2×10653355440² (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 a junction number, because it is equal to n+sod(n) for n = 10653355395 and 10653355404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16314154 + ... + 16314806.

It is an arithmetic number, because the mean of its divisors is an integer number (71526672).

Almost surely, 2^10653355440 is an apocalyptic number.

10653355440 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 10653355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22888535040).

10653355440 is an abundant number, since it is smaller than the sum of its proper divisors (35123714640).

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

10653355440 is a wasteful number, since it uses less digits than its factorization.

10653355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 10653355440 in words is "ten billion, six hundred fifty-three million, three hundred fifty-five thousand, four hundred forty".