1630281852000 has 1152 divisors, whose sum is σ = 6347867460480. Its totient is φ = 394813440000.

The previous prime is 1630281851987. The next prime is 1630281852047. The reversal of 1630281852000 is 2581820361.

It is a happy number.

1630281852000 is a `hidden beast` number, since 1 + 630 + 2 + 8 + 18 + 5 + 2 + 0 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1710683524 + ... + 1710684476.

It is an arithmetic number, because the mean of its divisors is an integer number (5510301615).

Almost surely, 2^{1630281852000} is an apocalyptic number.

1630281852000 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 1630281852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173933730240).

1630281852000 is an abundant number, since it is smaller than the sum of its proper divisors (4717585608480).

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

1630281852000 is a wasteful number, since it uses less digits than its factorization.

1630281852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1084 counting only the distinct ones).

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

It can be divided in two parts, 163028 and 1852000, that added together give a triangular number (2015028 = T₂₀₀₇).

The spelling of 1630281852000 in words is "one trillion, six hundred thirty billion, two hundred eighty-one million, eight hundred fifty-two thousand".