11058948000 has 288 divisors, whose sum is σ = 39425415120. Its totient is φ = 2935756800.

The previous prime is 11058947993. The next prime is 11058948031. The reversal of 11058948000 is 84985011.

It can be written as a sum of positive squares in 8 ways, for example, as 1145957904 + 9912990096 = 33852^2 + 99564^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 9971446 + ... + 9972554.

Almost surely, 2^11058948000 is an apocalyptic number.

11058948000 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 11058948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19712707560).

11058948000 is an abundant number, since it is smaller than the sum of its proper divisors (28366467120).

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

11058948000 is a wasteful number, since it uses less digits than its factorization.

11058948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1396 counting only the distinct ones).

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

The spelling of 11058948000 in words is "eleven billion, fifty-eight million, nine hundred forty-eight thousand".