10005455754407 has 16 divisors (see below), whose sum is σ = 10475302242240. Its totient is φ = 9538550790912.

The previous prime is 10005455754337. The next prime is 10005455754419. The reversal of 10005455754407 is 70445755450001.

It is a cyclic number.

It is not a de Polignac number, because 10005455754407 - 2²² = 10005451560103 is a prime.

It is a super-2 number, since 2×10005455754407² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005455754457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10776203 + ... + 11667795.

It is an arithmetic number, because the mean of its divisors is an integer number (654706390140).

Almost surely, 2^{10005455754407} is an apocalyptic number.

10005455754407 is a deficient number, since it is larger than the sum of its proper divisors (469846487833).

10005455754407 is a wasteful number, since it uses less digits than its factorization.

10005455754407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893242.

The product of its (nonzero) digits is 1960000, while the sum is 47.

The spelling of 10005455754407 in words is "ten trillion, five billion, four hundred fifty-five million, seven hundred fifty-four thousand, four hundred seven".