1781873006400 has 504 divisors, whose sum is σ = 6922082029824. Its totient is φ = 432787046400.

The previous prime is 1781873006387. The next prime is 1781873006413. The reversal of 1781873006400 is 46003781871.

1781873006400 is a `hidden beast` number, since 178 + 1 + 8 + 73 + 0 + 0 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1781873006387) and next prime (1781873006413).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7471399 + ... + 7706201.

Almost surely, 2^{1781873006400} is an apocalyptic number.

1781873006400 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 1781873006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461041014912).

1781873006400 is an abundant number, since it is smaller than the sum of its proper divisors (5140209023424).

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

1781873006400 is a wasteful number, since it uses less digits than its factorization.

1781873006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234879 (or 234861 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1781873006400 in words is "one trillion, seven hundred eighty-one billion, eight hundred seventy-three million, six thousand, four hundred".