11474890560 has 1008 divisors, whose sum is σ = 49290988032. Its totient is φ = 2438553600.

The previous prime is 11474890547. The next prime is 11474890573. The reversal of 11474890560 is 6509847411.

11474890560 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 4 + 89 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (11474890547) and next prime (11474890573).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×11474890560² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 188112930 + ... + 188112990.

Almost surely, 2^11474890560 is an apocalyptic number.

11474890560 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 11474890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24645494016).

11474890560 is an abundant number, since it is smaller than the sum of its proper divisors (37816097472).

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

11474890560 is a wasteful number, since it uses less digits than its factorization.

11474890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11474890560 in words is "eleven billion, four hundred seventy-four million, eight hundred ninety thousand, five hundred sixty".