11429971560 has 384 divisors, whose sum is σ = 45455155200. Its totient is φ = 2527822080.

The previous prime is 11429971537. The next prime is 11429971561. The reversal of 11429971560 is 6517992411.

11429971560 is a `hidden beast` number, since 1 + 14 + 2 + 9 + 9 + 71 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11429971561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106531 + ... + 2111949.

It is an arithmetic number, because the mean of its divisors is an integer number (118372800).

Almost surely, 2^11429971560 is an apocalyptic number.

11429971560 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 11429971560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22727577600).

11429971560 is an abundant number, since it is smaller than the sum of its proper divisors (34025183640).

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

11429971560 is a wasteful number, since it uses less digits than its factorization.

11429971560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11429971560 in words is "eleven billion, four hundred twenty-nine million, nine hundred seventy-one thousand, five hundred sixty".