11516238720 has 1024 divisors, whose sum is σ = 49939200000. Its totient is φ = 2503581696.

The previous prime is 11516238703. The next prime is 11516238731. The reversal of 11516238720 is 2783261511.

11516238720 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 623 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171884127 + ... + 171884193.

It is an arithmetic number, because the mean of its divisors is an integer number (48768750).

Almost surely, 2^11516238720 is an apocalyptic number.

11516238720 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 11516238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24969600000).

11516238720 is an abundant number, since it is smaller than the sum of its proper divisors (38422961280).

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

11516238720 is an equidigital number, since it uses as much as digits as its factorization.

11516238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11516238720 in words is "eleven billion, five hundred sixteen million, two hundred thirty-eight thousand, seven hundred twenty".