10830877545600 has 960 divisors, whose sum is σ = 46427375332800. Its totient is φ = 2435020185600.

The previous prime is 10830877545577. The next prime is 10830877545601. The reversal of 10830877545600 is 654577803801.

It is a happy number.

10830877545600 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 0 + 8 + 7 + 75 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10830877545601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110629471 + ... + 110727329.

It is an arithmetic number, because the mean of its divisors is an integer number (48361849305).

Almost surely, 2^{10830877545600} is an apocalyptic number.

10830877545600 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 10830877545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23213687666400).

10830877545600 is an abundant number, since it is smaller than the sum of its proper divisors (35596497787200).

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

10830877545600 is an equidigital number, since it uses as much as digits as its factorization.

10830877545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97963 (or 97937 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 10830877545600 in words is "ten trillion, eight hundred thirty billion, eight hundred seventy-seven million, five hundred forty-five thousand, six hundred".