11505700112010 has 256 divisors, whose sum is σ = 31391128903680. Its totient is φ = 2675566080000.

The previous prime is 11505700112009. The next prime is 11505700112017. The reversal of 11505700112010 is 1021100750511.

It is a super-2 number, since 2×11505700112010² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11505700112017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6149491375 + ... + 6149493245.

It is an arithmetic number, because the mean of its divisors is an integer number (122621597280).

Almost surely, 2^{11505700112010} is an apocalyptic number.

11505700112010 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 11505700112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15695564451840).

11505700112010 is an abundant number, since it is smaller than the sum of its proper divisors (19885428791670).

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

11505700112010 is a wasteful number, since it uses less digits than its factorization.

11505700112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805.

The product of its (nonzero) digits is 350, while the sum is 24.

Adding to 11505700112010 its reverse (1021100750511), we get a palindrome (12526800862521).

The spelling of 11505700112010 in words is "eleven trillion, five hundred five billion, seven hundred million, one hundred twelve thousand, ten".