11495952000 has 1024 divisors, whose sum is σ = 48117888000. Its totient is φ = 2676326400.

The previous prime is 11495951959. The next prime is 11495952011. The reversal of 11495952000 is 25959411.

11495952000 is a `hidden beast` number, since 1 + 1 + 49 + 595 + 20 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129167956 + ... + 129168044.

It is an arithmetic number, because the mean of its divisors is an integer number (46990125).

Almost surely, 2^11495952000 is an apocalyptic number.

11495952000 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 11495952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944000).

11495952000 is an abundant number, since it is smaller than the sum of its proper divisors (36621936000).

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

11495952000 is a wasteful number, since it uses less digits than its factorization.

11495952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 11495952000 in words is "eleven billion, four hundred ninety-five million, nine hundred fifty-two thousand".