1778561123040 has 576 divisors, whose sum is σ = 7179396456960. Its totient is φ = 396722810880.

The previous prime is 1778561122979. The next prime is 1778561123041. The reversal of 1778561123040 is 403211658771.

1778561123040 is a `hidden beast` number, since 1 + 7 + 7 + 8 + 5 + 611 + 23 + 0 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1778561123041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8071935 + ... + 8289345.

It is an arithmetic number, because the mean of its divisors is an integer number (12464229960).

Almost surely, 2^{1778561123040} is an apocalyptic number.

1778561123040 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 1778561123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589698228480).

1778561123040 is an abundant number, since it is smaller than the sum of its proper divisors (5400835333920).

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

1778561123040 is a wasteful number, since it uses less digits than its factorization.

1778561123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217487 (or 217476 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1778561123040 in words is "one trillion, seven hundred seventy-eight billion, five hundred sixty-one million, one hundred twenty-three thousand, forty".