1251294105600 has 2106 divisors, whose sum is σ = 5755675551990. Its totient is φ = 258873753600.

The previous prime is 1251294105563. The next prime is 1251294105623. The reversal of 1251294105600 is 65014921521.

1251294105600 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 2 + 9 + 41 + 0 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 299217752064 + 952076353536 = 547008^2 + 975744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 5464166286 + ... + 5464166514.

Almost surely, 2^{1251294105600} is an apocalyptic number.

1251294105600 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 1251294105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877837775995).

1251294105600 is an abundant number, since it is smaller than the sum of its proper divisors (4504381446390).

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

1251294105600 is a wasteful number, since it uses less digits than its factorization.

1251294105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1251294105600 in words is "one trillion, two hundred fifty-one billion, two hundred ninety-four million, one hundred five thousand, six hundred".