11457171920 has 40 divisors (see below), whose sum is σ = 26664204840. Its totient is φ = 4578347520.

The previous prime is 11457171919. The next prime is 11457171959. The reversal of 11457171920 is 2917175411.

It can be written as a sum of positive squares in 4 ways, for example, as 56911936 + 11400259984 = 7544^2 + 106772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 11546 + ... + 151814.

It is an arithmetic number, because the mean of its divisors is an integer number (666605121).

Almost surely, 2^11457171920 is an apocalyptic number.

11457171920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11457171920 is an abundant number, since it is smaller than the sum of its proper divisors (15207032920).

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

11457171920 is a wasteful number, since it uses less digits than its factorization.

11457171920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141303 (or 141297 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 38.

The spelling of 11457171920 in words is "eleven billion, four hundred fifty-seven million, one hundred seventy-one thousand, nine hundred twenty".