35603428812000 has 768 divisors, whose sum is σ = 136169849088000. Its totient is φ = 8128941004800.

The previous prime is 35603428811989. The next prime is 35603428812031. The reversal of 35603428812000 is 21882430653.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4169503731 + ... + 4169512269.

It is an arithmetic number, because the mean of its divisors is an integer number (177304491000).

Almost surely, 2^{35603428812000} is an apocalyptic number.

35603428812000 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 35603428812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68084924544000).

35603428812000 is an abundant number, since it is smaller than the sum of its proper divisors (100566420276000).

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

35603428812000 is a wasteful number, since it uses less digits than its factorization.

35603428812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9601 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 35603428812000 in words is "thirty-five trillion, six hundred three billion, four hundred twenty-eight million, eight hundred twelve thousand".