11151605010 has 256 divisors, whose sum is σ = 34164716544. Its totient is φ = 2266693632.

The previous prime is 11151605009. The next prime is 11151605011. The reversal of 11151605010 is 1050615111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11151605009) and next prime (11151605011).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11151605011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11413642 + ... + 11414618.

It is an arithmetic number, because the mean of its divisors is an integer number (133455924).

Almost surely, 2^11151605010 is an apocalyptic number.

11151605010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11151605010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082358272).

11151605010 is an abundant number, since it is smaller than the sum of its proper divisors (23013111534).

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

11151605010 is a wasteful number, since it uses less digits than its factorization.

11151605010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 11151605010 in words is "eleven billion, one hundred fifty-one million, six hundred five thousand, ten".