1283753520900 has 864 divisors, whose sum is σ = 4455074856960. Its totient is φ = 320137920000.

The previous prime is 1283753520887. The next prime is 1283753520911. The reversal of 1283753520900 is 90253573821.

1283753520900 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 7 + 535 + 20 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 3575914921 + ... + 3575915279.

It is an arithmetic number, because the mean of its divisors is an integer number (5156336640).

Almost surely, 2^{1283753520900} is an apocalyptic number.

1283753520900 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 1283753520900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227537428480).

1283753520900 is an abundant number, since it is smaller than the sum of its proper divisors (3171321336060).

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

1283753520900 is a wasteful number, since it uses less digits than its factorization.

1283753520900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1283753520900 in words is "one trillion, two hundred eighty-three billion, seven hundred fifty-three million, five hundred twenty thousand, nine hundred".