11251016160 has 96 divisors (see below), whose sum is σ = 37525475232. Its totient is φ = 2823782400.

The previous prime is 11251016141. The next prime is 11251016171. The reversal of 11251016160 is 6161015211.

11251016160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11251016160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11251016160.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 681241 + ... + 697560.

It is an arithmetic number, because the mean of its divisors is an integer number (390890367).

Almost surely, 2^11251016160 is an apocalyptic number.

11251016160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11251016160 is an abundant number, since it is smaller than the sum of its proper divisors (26274459072).

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

11251016160 is a wasteful number, since it uses less digits than its factorization.

11251016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378836 (or 1378828 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 11251016160 in words is "eleven billion, two hundred fifty-one million, sixteen thousand, one hundred sixty".