1827038822400 has 729 divisors, whose sum is σ = 7193935949473. Its totient is φ = 442918502400.

The previous prime is 1827038822381. The next prime is 1827038822423. The reversal of 1827038822400 is 42288307281.

The square root of 1827038822400 is 1351680.

It is a perfect power (a square), and thus also a powerful number.

1827038822400 is a `hidden beast` number, since 1 + 8 + 27 + 0 + 388 + 2 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 657733976064 + 1169304846336 = 811008^2 + 1081344^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166094438395 + ... + 166094438405.

Almost surely, 2^{1827038822400} is an apocalyptic number.

1827038822400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1827038822400 is the 1351680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827038822400

1827038822400 is an abundant number, since it is smaller than the sum of its proper divisors (5366897127073).

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

1827038822400 is an frugal number, since it uses more digits than its factorization.

1827038822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1827038822400 in words is "one trillion, eight hundred twenty-seven billion, thirty-eight million, eight hundred twenty-two thousand, four hundred".