11515021413000 has 768 divisors, whose sum is σ = 42354726336000. Its totient is φ = 2603569920000.

The previous prime is 11515021412969. The next prime is 11515021413041. The reversal of 11515021413000 is 31412051511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10496828452 + ... + 10496829548.

It is an arithmetic number, because the mean of its divisors is an integer number (55149383250).

Almost surely, 2^{11515021413000} is an apocalyptic number.

11515021413000 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 11515021413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21177363168000).

11515021413000 is an abundant number, since it is smaller than the sum of its proper divisors (30839704923000).

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

11515021413000 is a wasteful number, since it uses less digits than its factorization.

11515021413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 11515021413000 its reverse (31412051511), we get a palindrome (11546433464511).

The spelling of 11515021413000 in words is "eleven trillion, five hundred fifteen billion, twenty-one million, four hundred thirteen thousand".