11051010000 has 150 divisors (see below), whose sum is σ = 38647292970. Its totient is φ = 2946912000.

The previous prime is 11051009999. The next prime is 11051010001. The reversal of 11051010000 is 1015011.

It is an interprime number because it is at equal distance from previous prime (11051009999) and next prime (11051010001).

It can be written as a sum of positive squares in 5 ways, for example, as 1176215616 + 9874794384 = 34296^2 + 99372^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11051010001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28606 + ... + 151394.

Almost surely, 2^11051010000 is an apocalyptic number.

11051010000 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 11051010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323646485).

11051010000 is an abundant number, since it is smaller than the sum of its proper divisors (27596282970).

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

11051010000 is a wasteful number, since it uses less digits than its factorization.

11051010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122823 (or 122799 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 11051010000 its reverse (1015011), we get a palindrome (11052025011).

The spelling of 11051010000 in words is "eleven billion, fifty-one million, ten thousand".