1020825316800 has 252 divisors, whose sum is σ = 3646681871976. Its totient is φ = 270837504000.

The previous prime is 1020825316759. The next prime is 1020825316877. The reversal of 1020825316800 is 86135280201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2656875 + ... + 3016725.

Almost surely, 2^{1020825316800} is an apocalyptic number.

1020825316800 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 1020825316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823340935988).

1020825316800 is an abundant number, since it is smaller than the sum of its proper divisors (2625856555176).

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

1020825316800 is a wasteful number, since it uses less digits than its factorization.

1020825316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360076 (or 360058 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1020825316800 in words is "one trillion, twenty billion, eight hundred twenty-five million, three hundred sixteen thousand, eight hundred".