10353705840 has 240 divisors, whose sum is σ = 36955009728. Its totient is φ = 2588811264.

The previous prime is 10353705799. The next prime is 10353705877. The reversal of 10353705840 is 4850735301.

10353705840 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 3 + 70 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 10353705795 and 10353705804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3584877 + ... + 3587763.

Almost surely, 2^10353705840 is an apocalyptic number.

10353705840 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 10353705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477504864).

10353705840 is an abundant number, since it is smaller than the sum of its proper divisors (26601303888).

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

10353705840 is a wasteful number, since it uses less digits than its factorization.

10353705840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10353705840 in words is "ten billion, three hundred fifty-three million, seven hundred five thousand, eight hundred forty".