1985212800 has 672 divisors, whose sum is σ = 7879830480. Its totient is φ = 492687360.

The previous prime is 1985212793. The next prime is 1985212847. The reversal of 1985212800 is 82125891.

It is a super-2 number, since 2×1985212800² = 7882139722567680000, which contains 22 as substring.

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 53654382 + ... + 53654418.

Almost surely, 2^1985212800 is an apocalyptic number.

1985212800 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 1985212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939915240).

1985212800 is an abundant number, since it is smaller than the sum of its proper divisors (5894617680).

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

1985212800 is an equidigital number, since it uses as much as digits as its factorization.

1985212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1985212800 is about 44555.7269046303. The cubic root of 1985212800 is about 1256.8082482151.

The spelling of 1985212800 in words is "one billion, nine hundred eighty-five million, two hundred twelve thousand, eight hundred".