11415150215400 has 192 divisors, whose sum is σ = 35481325478400. Its totient is φ = 3035933602560.

The previous prime is 11415150215363. The next prime is 11415150215401. The reversal of 11415150215400 is 451205151411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11415150215401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365070567 + ... + 365101833.

It is an arithmetic number, because the mean of its divisors is an integer number (184798570200).

Almost surely, 2^{11415150215400} is an apocalyptic number.

11415150215400 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 11415150215400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740662739200).

11415150215400 is an abundant number, since it is smaller than the sum of its proper divisors (24066175263000).

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

11415150215400 is a wasteful number, since it uses less digits than its factorization.

11415150215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32888 (or 32879 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

Adding to 11415150215400 its reverse (451205151411), we get a palindrome (11866355366811).

The spelling of 11415150215400 in words is "eleven trillion, four hundred fifteen billion, one hundred fifty million, two hundred fifteen thousand, four hundred".