10988620401 has 32 divisors (see below), whose sum is σ = 16160752512. Its totient is φ = 6586306560.

The previous prime is 10988620393. The next prime is 10988620427. The reversal of 10988620401 is 10402688901.

10988620401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10988620401 - 2³ = 10988620393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10988620401.

It is not an unprimeable number, because it can be changed into a prime (10988620801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096851 + ... + 1106823.

It is an arithmetic number, because the mean of its divisors is an integer number (505023516).

Almost surely, 2^10988620401 is an apocalyptic number.

10988620401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10988620401 is a deficient number, since it is larger than the sum of its proper divisors (5172132111).

10988620401 is a wasteful number, since it uses less digits than its factorization.

10988620401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10353.

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 10988620401 in words is "ten billion, nine hundred eighty-eight million, six hundred twenty thousand, four hundred one".