10406001164608 has 56 divisors (see below), whose sum is σ = 23617381499712. Its totient is φ = 4456302357504.

The previous prime is 10406001164567. The next prime is 10406001164621. The reversal of 10406001164608 is 80646110060401.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8300341 + ... + 9471412.

It is an arithmetic number, because the mean of its divisors is an integer number (421738955352).

Almost surely, 2^{10406001164608} is an apocalyptic number.

It is an amenable number.

10406001164608 is an abundant number, since it is smaller than the sum of its proper divisors (13211380335104).

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

10406001164608 is a wasteful number, since it uses less digits than its factorization.

10406001164608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17773079 (or 17773069 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 10406001164608 in words is "ten trillion, four hundred six billion, one million, one hundred sixty-four thousand, six hundred eight".