11720211510 has 192 divisors, whose sum is σ = 33506500608. Its totient is φ = 2615348736.

The previous prime is 11720211487. The next prime is 11720211511. The reversal of 11720211510 is 1511202711.

11720211510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11720211511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12507762 + ... + 12508698.

It is an arithmetic number, because the mean of its divisors is an integer number (174513024).

Almost surely, 2^11720211510 is an apocalyptic number.

11720211510 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 11720211510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753250304).

11720211510 is an abundant number, since it is smaller than the sum of its proper divisors (21786289098).

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

11720211510 is a wasteful number, since it uses less digits than its factorization.

11720211510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 21.

The spelling of 11720211510 in words is "eleven billion, seven hundred twenty million, two hundred eleven thousand, five hundred ten".