1827038773200 has 240 divisors, whose sum is σ = 6190741088640. Its totient is φ = 459642839040.

The previous prime is 1827038773139. The next prime is 1827038773253. The reversal of 1827038773200 is 23778307281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1827038773200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1827038773200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1561396 + ... + 2468204.

It is an arithmetic number, because the mean of its divisors is an integer number (25794754536).

Almost surely, 2^{1827038773200} is an apocalyptic number.

1827038773200 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 1827038773200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095370544320).

1827038773200 is an abundant number, since it is smaller than the sum of its proper divisors (4363702315440).

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

1827038773200 is a wasteful number, since it uses less digits than its factorization.

1827038773200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906926 (or 906915 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 1827038773200 in words is "one trillion, eight hundred twenty-seven billion, thirty-eight million, seven hundred seventy-three thousand, two hundred".