1425776105600 has 1152 divisors, whose sum is σ = 4650902323200. Its totient is φ = 422231040000.

The previous prime is 1425776105561. The next prime is 1425776105629. The reversal of 1425776105600 is 65016775241.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5965590281 + ... + 5965590519.

It is an arithmetic number, because the mean of its divisors is an integer number (4037241600).

Almost surely, 2^{1425776105600} is an apocalyptic number.

1425776105600 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 1425776105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325451161600).

1425776105600 is an abundant number, since it is smaller than the sum of its proper divisors (3225126217600).

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

1425776105600 is a wasteful number, since it uses less digits than its factorization.

1425776105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 1425776105600 in words is "one trillion, four hundred twenty-five billion, seven hundred seventy-six million, one hundred five thousand, six hundred".