1250778049920 has 1280 divisors, whose sum is σ = 5519895321600. Its totient is φ = 263471284224.

The previous prime is 1250778049879. The next prime is 1250778049931. The reversal of 1250778049920 is 299408770521.

1250778049920 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 77 + 80 + 499 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 255102189 + ... + 255107091.

It is an arithmetic number, because the mean of its divisors is an integer number (4312418220).

Almost surely, 2^{1250778049920} is an apocalyptic number.

1250778049920 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 1250778049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759947660800).

1250778049920 is an abundant number, since it is smaller than the sum of its proper divisors (4269117271680).

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

1250778049920 is a wasteful number, since it uses less digits than its factorization.

1250778049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1250778049920 in words is "one trillion, two hundred fifty billion, seven hundred seventy-eight million, forty-nine thousand, nine hundred twenty".