12838761154400 has 288 divisors, whose sum is σ = 32214793121280. Its totient is φ = 4993728122880.

The previous prime is 12838761154397. The next prime is 12838761154421. The reversal of 12838761154400 is 445116783821.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12428616284 + ... + 12428617316.

It is an arithmetic number, because the mean of its divisors is an integer number (111856920560).

Almost surely, 2^{12838761154400} is an apocalyptic number.

12838761154400 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 12838761154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107396560640).

12838761154400 is an abundant number, since it is smaller than the sum of its proper divisors (19376031966880).

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

12838761154400 is a wasteful number, since it uses less digits than its factorization.

12838761154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 12838761154400 in words is "twelve trillion, eight hundred thirty-eight billion, seven hundred sixty-one million, one hundred fifty-four thousand, four hundred".