1825988774400 has 720 divisors, whose sum is σ = 7491897386688. Its totient is φ = 416047104000.

The previous prime is 1825988774387. The next prime is 1825988774431. The reversal of 1825988774400 is 44778895281.

1825988774400 is a `hidden beast` number, since 1 + 8 + 25 + 98 + 87 + 7 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 266914980 + ... + 266921820.

Almost surely, 2^{1825988774400} is an apocalyptic number.

1825988774400 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 1825988774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745948693344).

1825988774400 is an abundant number, since it is smaller than the sum of its proper divisors (5665908612288).

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

1825988774400 is a wasteful number, since it uses less digits than its factorization.

1825988774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7213 (or 7189 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 1825988774400 in words is "one trillion, eight hundred twenty-five billion, nine hundred eighty-eight million, seven hundred seventy-four thousand, four hundred".