12892374833400 has 480 divisors, whose sum is σ = 47499261392880. Its totient is φ = 3229714944000.

The previous prime is 12892374833399. The next prime is 12892374833407. The reversal of 12892374833400 is 433847329821.

It is a happy number.

12892374833400 is a `hidden beast` number, since 1 + 2 + 8 + 92 + 3 + 74 + 83 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12892374833407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148948135 + ... + 149034665.

Almost surely, 2^{12892374833400} is an apocalyptic number.

12892374833400 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 12892374833400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23749630696440).

12892374833400 is an abundant number, since it is smaller than the sum of its proper divisors (34606886559480).

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

12892374833400 is a wasteful number, since it uses less digits than its factorization.

12892374833400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87117 (or 87099 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 12892374833400 in words is "twelve trillion, eight hundred ninety-two billion, three hundred seventy-four million, eight hundred thirty-three thousand, four hundred".