1283802987600 has 2400 divisors, whose sum is σ = 6018362228736. Its totient is φ = 255102566400.

The previous prime is 1283802987581. The next prime is 1283802987653. The reversal of 1283802987600 is 67892083821.

It is a happy number.

1283802987600 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 8 + 0 + 29 + 8 + 7 + 600 = 666.

It is a super-2 number, since 2×1283802987600² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2749042567 + ... + 2749043033.

Almost surely, 2^{1283802987600} is an apocalyptic number.

1283802987600 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 1283802987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009181114368).

1283802987600 is an abundant number, since it is smaller than the sum of its proper divisors (4734559241136).

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

1283802987600 is a wasteful number, since it uses less digits than its factorization.

1283802987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1283802987600 in words is "one trillion, two hundred eighty-three billion, eight hundred two million, nine hundred eighty-seven thousand, six hundred".