10447655400000 has 3360 divisors, whose sum is σ = 50285289035520. Its totient is φ = 2082723840000.

The previous prime is 10447655399989. The next prime is 10447655400029. The reversal of 10447655400000 is 455674401.

10447655400000 is a `hidden beast` number, since 1 + 0 + 44 + 76 + 5 + 540 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 28009799814 + ... + 28009800186.

It is an arithmetic number, because the mean of its divisors is an integer number (14965859832).

Almost surely, 2^{10447655400000} is an apocalyptic number.

10447655400000 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 10447655400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25142644517760).

10447655400000 is an abundant number, since it is smaller than the sum of its proper divisors (39837633635520).

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

10447655400000 is an equidigital number, since it uses as much as digits as its factorization.

10447655400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 10447655400000 in words is "ten trillion, four hundred forty-seven billion, six hundred fifty-five million, four hundred thousand".