35485012800 has 252 divisors, whose sum is σ = 129532764556. Its totient is φ = 9206784000.

The previous prime is 35485012793. The next prime is 35485012817. The reversal of 35485012800 is 821058453.

It is a happy number.

35485012800 is a `hidden beast` number, since 35 + 48 + 501 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2066247936 + 33418764864 = 45456^2 + 182808^2 .

It is a super-2 number, since 2×35485012800² (a number of 22 digits) 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 499500 + ... + 566100.

Almost surely, 2^35485012800 is an apocalyptic number.

35485012800 is a gapful number since it is divisible by the number (30) 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 35485012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64766382278).

35485012800 is an abundant number, since it is smaller than the sum of its proper divisors (94047751756).

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

35485012800 is a wasteful number, since it uses less digits than its factorization.

35485012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66666 (or 66648 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 35485012800 in words is "thirty-five billion, four hundred eighty-five million, twelve thousand, eight hundred".