10863208857600 has 2304 divisors, whose sum is σ = 45470187846720. Its totient is φ = 2569273344000.

The previous prime is 10863208857587. The next prime is 10863208857617. The reversal of 10863208857600 is 675880236801.

10863208857600 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 3 + 20 + 8 + 8 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 264956313580 + ... + 264956313620.

Almost surely, 2^{10863208857600} is an apocalyptic number.

10863208857600 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 10863208857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22735093923360).

10863208857600 is an abundant number, since it is smaller than the sum of its proper divisors (34606978989120).

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

10863208857600 is an frugal number, since it uses more digits than its factorization.

10863208857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10863208857600 in words is "ten trillion, eight hundred sixty-three billion, two hundred eight million, eight hundred fifty-seven thousand, six hundred".