11057671260 has 144 divisors (see below), whose sum is σ = 35724570336. Its totient is φ = 2868970752.

The previous prime is 11057671253. The next prime is 11057671283. The reversal of 11057671260 is 6217675011.

11057671260 is a `hidden beast` number, since 1 + 10 + 576 + 7 + 12 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149074 + ... + 210566.

It is an arithmetic number, because the mean of its divisors is an integer number (248087294).

Almost surely, 2^11057671260 is an apocalyptic number.

11057671260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11057671260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862285168).

11057671260 is an abundant number, since it is smaller than the sum of its proper divisors (24666899076).

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

11057671260 is a wasteful number, since it uses less digits than its factorization.

11057671260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61554 (or 61540 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 11057671260 in words is "eleven billion, fifty-seven million, six hundred seventy-one thousand, two hundred sixty".