11769072480 has 576 divisors, whose sum is σ = 46142224128. Its totient is φ = 2705633280.

The previous prime is 11769072467. The next prime is 11769072521. The reversal of 11769072480 is 8427096711.

It is a happy number.

11769072480 is a `hidden beast` number, since 1 + 17 + 6 + 90 + 72 + 480 = 666.

It is a super-2 number, since 2×11769072480² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25201207 + ... + 25201673.

It is an arithmetic number, because the mean of its divisors is an integer number (80108028).

Almost surely, 2^11769072480 is an apocalyptic number.

11769072480 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 11769072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23071112064).

11769072480 is an abundant number, since it is smaller than the sum of its proper divisors (34373151648).

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

11769072480 is a wasteful number, since it uses less digits than its factorization.

11769072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11769072480 in words is "eleven billion, seven hundred sixty-nine million, seventy-two thousand, four hundred eighty".