10001056665600 has 3744 divisors, whose sum is σ = 49564664158464. Its totient is φ = 1860068966400.

The previous prime is 10001056665577. The next prime is 10001056665629. The reversal of 10001056665600 is 656665010001.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×10001056665600² (a number of 27 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 34133299054 + ... + 34133299346.

It is an arithmetic number, because the mean of its divisors is an integer number (13238425256).

Almost surely, 2^{10001056665600} is an apocalyptic number.

10001056665600 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 10001056665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24782332079232).

10001056665600 is an abundant number, since it is smaller than the sum of its proper divisors (39563607492864).

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

10001056665600 is a wasteful number, since it uses less digits than its factorization.

10001056665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10001056665600 in words is "ten trillion, one billion, fifty-six million, six hundred sixty-five thousand, six hundred".