1225784495520 has 1152 divisors, whose sum is σ = 4866728106240. Its totient is φ = 289282129920.

The previous prime is 1225784495513. The next prime is 1225784495521. The reversal of 1225784495520 is 255944875221.

1225784495520 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 7 + 84 + 4 + 9 + 552 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1225784495521) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3532519987 + ... + 3532520333.

It is an arithmetic number, because the mean of its divisors is an integer number (4224590370).

Almost surely, 2^{1225784495520} is an apocalyptic number.

1225784495520 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 1225784495520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433364053120).

1225784495520 is an abundant number, since it is smaller than the sum of its proper divisors (3640943610720).

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

1225784495520 is a wasteful number, since it uses less digits than its factorization.

1225784495520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 1225784495520 in words is "one trillion, two hundred twenty-five billion, seven hundred eighty-four million, four hundred ninety-five thousand, five hundred twenty".