11200971960 has 192 divisors, whose sum is σ = 39211286400. Its totient is φ = 2763839232.

The previous prime is 11200971959. The next prime is 11200971973. The reversal of 11200971960 is 6917900211.

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 47 ways as a sum of consecutive naturals, for example, 275079 + ... + 313161.

It is an arithmetic number, because the mean of its divisors is an integer number (204225450).

Almost surely, 2^11200971960 is an apocalyptic number.

11200971960 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 11200971960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605643200).

11200971960 is an abundant number, since it is smaller than the sum of its proper divisors (28010314440).

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

11200971960 is a wasteful number, since it uses less digits than its factorization.

11200971960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38162 (or 38155 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 11200971960 in words is "eleven billion, two hundred million, nine hundred seventy-one thousand, nine hundred sixty".