1196905254480 has 800 divisors, whose sum is σ = 4750526509344. Its totient is φ = 276685258752.

The previous prime is 1196905254469. The next prime is 1196905254509. The reversal of 1196905254480 is 844525096911.

1196905254480 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 90 + 5 + 2 + 544 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 152118720576 + 1044786533904 = 390024^2 + 1022148^2 .

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 (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1255933684 + ... + 1255934636.

Almost surely, 2^{1196905254480} is an apocalyptic number.

1196905254480 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 1196905254480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375263254672).

1196905254480 is an abundant number, since it is smaller than the sum of its proper divisors (3553621254864).

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

1196905254480 is a wasteful number, since it uses less digits than its factorization.

1196905254480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1196905254480 in words is "one trillion, one hundred ninety-six billion, nine hundred five million, two hundred fifty-four thousand, four hundred eighty".