10247494420800 has 2520 divisors, whose sum is σ = 47693474219160. Its totient is φ = 2138959872000.

The previous prime is 10247494420771. The next prime is 10247494420831. The reversal of 10247494420800 is 802449474201.

10247494420800 is a `hidden beast` number, since 1 + 0 + 2 + 47 + 494 + 42 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 104696250624 + 10142798170176 = 323568^2 + 3184776^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×10247494420800² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8338074586 + ... + 8338075814.

It is an arithmetic number, because the mean of its divisors is an integer number (18925981833).

Almost surely, 2^{10247494420800} is an apocalyptic number.

10247494420800 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 10247494420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846737109580).

10247494420800 is an abundant number, since it is smaller than the sum of its proper divisors (37445979798360).

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

10247494420800 is a wasteful number, since it uses less digits than its factorization.

10247494420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10247494420800 in words is "ten trillion, two hundred forty-seven billion, four hundred ninety-four million, four hundred twenty thousand, eight hundred".