11507952000 has 256 divisors, whose sum is σ = 38374015680. Its totient is φ = 3050700800.

The previous prime is 11507951879. The next prime is 11507952017. The reversal of 11507952000 is 25970511.

11507952000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9455392 + ... + 9456608.

Almost surely, 2^11507952000 is an apocalyptic number.

11507952000 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 11507952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19187007840).

11507952000 is an abundant number, since it is smaller than the sum of its proper divisors (26866063680).

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

11507952000 is a wasteful number, since it uses less digits than its factorization.

11507952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The spelling of 11507952000 in words is "eleven billion, five hundred seven million, nine hundred fifty-two thousand".