11951358720 has 432 divisors, whose sum is σ = 46752330240. Its totient is φ = 2587189248.

The previous prime is 11951358703. The next prime is 11951358733. The reversal of 11951358720 is 2785315911.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3573369 + ... + 3576711.

Almost surely, 2^11951358720 is an apocalyptic number.

11951358720 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 11951358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23376165120).

11951358720 is an abundant number, since it is smaller than the sum of its proper divisors (34800971520).

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

11951358720 is a wasteful number, since it uses less digits than its factorization.

11951358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The spelling of 11951358720 in words is "eleven billion, nine hundred fifty-one million, three hundred fifty-eight thousand, seven hundred twenty".