1825769484000 has 1440 divisors, whose sum is σ = 8419279796928. Its totient is φ = 379323648000.

The previous prime is 1825769483981. The next prime is 1825769484029. The reversal of 1825769484000 is 4849675281.

It is a happy number.

1825769484000 is a `hidden beast` number, since 1 + 82 + 5 + 76 + 94 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×1825769484000⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 274424674 + ... + 274431326.

Almost surely, 2^{1825769484000} is an apocalyptic number.

1825769484000 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 1825769484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209639898464).

1825769484000 is an abundant number, since it is smaller than the sum of its proper divisors (6593510312928).

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

1825769484000 is a wasteful number, since it uses less digits than its factorization.

1825769484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1825769484000 in words is "one trillion, eight hundred twenty-five billion, seven hundred sixty-nine million, four hundred eighty-four thousand".