11950848000 has 1536 divisors, whose sum is σ = 57238272000. Its totient is φ = 2388787200.

The previous prime is 11950847947. The next prime is 11950848067. The reversal of 11950848000 is 84805911.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

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, 628991991 + ... + 628992009.

It is an arithmetic number, because the mean of its divisors is an integer number (37264500).

Almost surely, 2^11950848000 is an apocalyptic number.

11950848000 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 11950848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28619136000).

11950848000 is an abundant number, since it is smaller than the sum of its proper divisors (45287424000).

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

11950848000 is a wasteful number, since it uses less digits than its factorization.

11950848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11950848000 in words is "eleven billion, nine hundred fifty million, eight hundred forty-eight thousand".