10352983680 has 512 divisors, whose sum is σ = 41825548800. Its totient is φ = 2397634560.

The previous prime is 10352983679. The next prime is 10352983717. The reversal of 10352983680 is 8638925301.

It is a happy number.

10352983680 is a `hidden beast` number, since 10 + 3 + 529 + 8 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3817525 + ... + 3820235.

It is an arithmetic number, because the mean of its divisors is an integer number (81690525).

Almost surely, 2^10352983680 is an apocalyptic number.

10352983680 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 10352983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20912774400).

10352983680 is an abundant number, since it is smaller than the sum of its proper divisors (31472565120).

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

10352983680 is a wasteful number, since it uses less digits than its factorization.

10352983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10352983680 in words is "ten billion, three hundred fifty-two million, nine hundred eighty-three thousand, six hundred eighty".