115424400252000 has 384 divisors, whose sum is σ = 435447843038208. Its totient is φ = 26181322752000.

The previous prime is 115424400251821. The next prime is 115424400252001. The reversal of 115424400252000 is 252004424511.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115424400252001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5759344 + ... + 16248656.

It is an arithmetic number, because the mean of its divisors is an integer number (1133978757912).

Almost surely, 2^{115424400252000} is an apocalyptic number.

115424400252000 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 115424400252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217723921519104).

115424400252000 is an abundant number, since it is smaller than the sum of its proper divisors (320023442786208).

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

115424400252000 is a wasteful number, since it uses less digits than its factorization.

115424400252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10489479 (or 10489461 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 115424400252000 its reverse (252004424511), we get a palindrome (115676404676511).

The spelling of 115424400252000 in words is "one hundred fifteen trillion, four hundred twenty-four billion, four hundred million, two hundred fifty-two thousand".