35383963053120 has 672 divisors, whose sum is σ = 134283553778304. Its totient is φ = 7855131525120.

The previous prime is 35383963053077. The next prime is 35383963053121. The reversal of 35383963053120 is 2135036938353.

It is a super-2 number, since 2×35383963053120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (35383963053121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72822499 + ... + 73306781.

It is an arithmetic number, because the mean of its divisors is an integer number (199826716932).

Almost surely, 2^{35383963053120} is an apocalyptic number.

35383963053120 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 35383963053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67141776889152).

35383963053120 is an abundant number, since it is smaller than the sum of its proper divisors (98899590725184).

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

35383963053120 is a wasteful number, since it uses less digits than its factorization.

35383963053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484379 (or 484358 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 51.

The spelling of 35383963053120 in words is "thirty-five trillion, three hundred eighty-three billion, nine hundred sixty-three million, fifty-three thousand, one hundred twenty".