10863246240 has 288 divisors, whose sum is σ = 46218646656. Its totient is φ = 2257274880.

The previous prime is 10863246239. The next prime is 10863246259. The reversal of 10863246240 is 4264236801.

10863246240 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 3 + 24 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10863246195 and 10863246204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61894 + ... + 159866.

It is an arithmetic number, because the mean of its divisors is an integer number (160481412).

Almost surely, 2^10863246240 is an apocalyptic number.

10863246240 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 10863246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109323328).

10863246240 is an abundant number, since it is smaller than the sum of its proper divisors (35355400416).

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

10863246240 is a wasteful number, since it uses less digits than its factorization.

10863246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98012 (or 98001 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10863246240 in words is "ten billion, eight hundred sixty-three million, two hundred forty-six thousand, two hundred forty".