11487429720 has 640 divisors, whose sum is σ = 44918375040. Its totient is φ = 2607759360.

The previous prime is 11487429689. The next prime is 11487429731. The reversal of 11487429720 is 2792478411.

It is a super-2 number, since 2×11487429720² (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 159 ways as a sum of consecutive naturals, for example, 43678309 + ... + 43678571.

It is an arithmetic number, because the mean of its divisors is an integer number (70184961).

Almost surely, 2^11487429720 is an apocalyptic number.

11487429720 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 11487429720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22459187520).

11487429720 is an abundant number, since it is smaller than the sum of its proper divisors (33430945320).

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

11487429720 is a wasteful number, since it uses less digits than its factorization.

11487429720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11487429720 in words is "eleven billion, four hundred eighty-seven million, four hundred twenty-nine thousand, seven hundred twenty".