2107553476401 has 160 divisors (see below), whose sum is σ = 3389336924160. Its totient is φ = 1301322806784.

The previous prime is 2107553476393. The next prime is 2107553476459. The reversal of 2107553476401 is 1046743557012.

2107553476401 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 5 + 534 + 76 + 40 + 1 = 666.

It is not a de Polignac number, because 2107553476401 - 2³ = 2107553476393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2107553476471) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5308698735 + ... + 5308699131.

It is an arithmetic number, because the mean of its divisors is an integer number (21183355776).

Almost surely, 2^{2107553476401} is an apocalyptic number.

It is an amenable number.

2107553476401 is a deficient number, since it is larger than the sum of its proper divisors (1281783447759).

2107553476401 is a wasteful number, since it uses less digits than its factorization.

2107553476401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2107553476401 in words is "two trillion, one hundred seven billion, five hundred fifty-three million, four hundred seventy-six thousand, four hundred one".