11515211455776 has 144 divisors (see below), whose sum is σ = 35208981412416. Its totient is φ = 3285713217024.

The previous prime is 11515211455771. The next prime is 11515211455807. The reversal of 11515211455776 is 67755411251511.

It is not an unprimeable number, because it can be changed into a prime (11515211455771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1944045 + ... + 5177811.

It is an arithmetic number, because the mean of its divisors is an integer number (244506815364).

Almost surely, 2^{11515211455776} is an apocalyptic number.

11515211455776 is a gapful number since it is divisible by the number (16) 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 11515211455776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604490706208).

11515211455776 is an abundant number, since it is smaller than the sum of its proper divisors (23693769956640).

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

11515211455776 is a wasteful number, since it uses less digits than its factorization.

11515211455776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234551 (or 3234536 counting only the distinct ones).

The product of its digits is 1470000, while the sum is 51.

The spelling of 11515211455776 in words is "eleven trillion, five hundred fifteen billion, two hundred eleven million, four hundred fifty-five thousand, seven hundred seventy-six".