1780427563200 has 2016 divisors, whose sum is σ = 7966115469312. Its totient is φ = 385191936000.

The previous prime is 1780427563163. The next prime is 1780427563241. The reversal of 1780427563200 is 23657240871.

1780427563200 is a `hidden beast` number, since 1 + 7 + 8 + 0 + 4 + 2 + 7 + 5 + 632 + 0 + 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1723549884 + ... + 1723550916.

Almost surely, 2^{1780427563200} is an apocalyptic number.

1780427563200 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 1780427563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983057734656).

1780427563200 is an abundant number, since it is smaller than the sum of its proper divisors (6185687906112).

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

1780427563200 is a wasteful number, since it uses less digits than its factorization.

1780427563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1780427563200 in words is "one trillion, seven hundred eighty billion, four hundred twenty-seven million, five hundred sixty-three thousand, two hundred".