10772304143601 has 128 divisors (see below), whose sum is σ = 20527763558400. Its totient is φ = 4838682562560.

The previous prime is 10772304143599. The next prime is 10772304143609. The reversal of 10772304143601 is 10634140327701.

It is not a de Polignac number, because 10772304143601 - 2¹ = 10772304143599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10772304143601.

It is not an unprimeable number, because it can be changed into a prime (10772304143609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4017405 + ... + 6138741.

It is an arithmetic number, because the mean of its divisors is an integer number (160373152800).

Almost surely, 2^{10772304143601} is an apocalyptic number.

10772304143601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10772304143601 is a deficient number, since it is larger than the sum of its proper divisors (9755459414799).

10772304143601 is a wasteful number, since it uses less digits than its factorization.

10772304143601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121479.

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 10772304143601 in words is "ten trillion, seven hundred seventy-two billion, three hundred four million, one hundred forty-three thousand, six hundred one".