10832045137920 has 1008 divisors, whose sum is σ = 41302001986128. Its totient is φ = 2717484318720.

The previous prime is 10832045137891. The next prime is 10832045137967. The reversal of 10832045137920 is 2973154023801.

It is a happy number.

10832045137920 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 204 + 51 + 379 + 20 = 666.

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

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, 4568554335 + ... + 4568556705.

Almost surely, 2^{10832045137920} is an apocalyptic number.

10832045137920 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 10832045137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20651000993064).

10832045137920 is an abundant number, since it is smaller than the sum of its proper divisors (30469956848208).

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

10832045137920 is an frugal number, since it uses more digits than its factorization.

10832045137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10832045137920 in words is "ten trillion, eight hundred thirty-two billion, forty-five million, one hundred thirty-seven thousand, nine hundred twenty".