11315751638400 has 2304 divisors, whose sum is σ = 47136283084800. Its totient is φ = 2559098880000.

The previous prime is 11315751638383. The next prime is 11315751638407. The reversal of 11315751638400 is 483615751311.

11315751638400 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 5 + 7 + 5 + 1 + 638 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×11315751638400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11315751638407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63216489511 + ... + 63216489689.

It is an arithmetic number, because the mean of its divisors is an integer number (20458456200).

Almost surely, 2^{11315751638400} is an apocalyptic number.

11315751638400 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 11315751638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23568141542400).

11315751638400 is an abundant number, since it is smaller than the sum of its proper divisors (35820531446400).

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

11315751638400 is a wasteful number, since it uses less digits than its factorization.

11315751638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 11315751638400 in words is "eleven trillion, three hundred fifteen billion, seven hundred fifty-one million, six hundred thirty-eight thousand, four hundred".