10009416034656 has 288 divisors, whose sum is σ = 29145305498400. Its totient is φ = 3257758310400.

The previous prime is 10009416034573. The next prime is 10009416034691. The reversal of 10009416034656 is 65643061490001.

10009416034656 is a `hidden beast` number, since 10 + 0 + 0 + 94 + 160 + 346 + 56 = 666.

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

It is a congruent number.

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, 1027761435 + ... + 1027771173.

It is an arithmetic number, because the mean of its divisors is an integer number (101198977425).

Almost surely, 2^{10009416034656} is an apocalyptic number.

10009416034656 is a gapful number since it is divisible by the number (16) 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 10009416034656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572652749200).

10009416034656 is an abundant number, since it is smaller than the sum of its proper divisors (19135889463744).

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

10009416034656 is a wasteful number, since it uses less digits than its factorization.

10009416034656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10009416034656 in words is "ten trillion, nine billion, four hundred sixteen million, thirty-four thousand, six hundred fifty-six".