35451445982820 has 768 divisors, whose sum is σ = 128030305536000. Its totient is φ = 7143429242880.

The previous prime is 35451445982809. The next prime is 35451445982851. The reversal of 35451445982820 is 2828954415453.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 922018956 + ... + 922057404.

It is an arithmetic number, because the mean of its divisors is an integer number (166706127000).

Almost surely, 2^{35451445982820} is an apocalyptic number.

35451445982820 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 35451445982820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64015152768000).

35451445982820 is an abundant number, since it is smaller than the sum of its proper divisors (92578859553180).

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

35451445982820 is a wasteful number, since it uses less digits than its factorization.

35451445982820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38648 (or 38646 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 60.

The spelling of 35451445982820 in words is "thirty-five trillion, four hundred fifty-one billion, four hundred forty-five million, nine hundred eighty-two thousand, eight hundred twenty".