10356832080 has 360 divisors, whose sum is σ = 41407340832. Its totient is φ = 2311884288.

The previous prime is 10356832069. The next prime is 10356832099. The reversal of 10356832080 is 8023865301.

10356832080 is a `hidden beast` number, since 10 + 3 + 568 + 3 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×10356832080³ (a number of 31 digits) contains 333 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 71 ways as a sum of consecutive naturals, for example, 1513627 + ... + 1520453.

Almost surely, 2^10356832080 is an apocalyptic number.

10356832080 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 10356832080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20703670416).

10356832080 is an abundant number, since it is smaller than the sum of its proper divisors (31050508752).

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

10356832080 is a wasteful number, since it uses less digits than its factorization.

10356832080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10356832080 in words is "ten billion, three hundred fifty-six million, eight hundred thirty-two thousand, eighty".