35400342225500 has 192 divisors, whose sum is σ = 88784714124288. Its totient is φ = 12078928108800.

The previous prime is 35400342225499. The next prime is 35400342225503. The reversal of 35400342225500 is 552224300453.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35400342225503) 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 63 ways as a sum of consecutive naturals, for example, 789406079 + ... + 789450921.

It is an arithmetic number, because the mean of its divisors is an integer number (462420386064).

Almost surely, 2^{35400342225500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35400342225500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44392357062144).

35400342225500 is an abundant number, since it is smaller than the sum of its proper divisors (53384371898788).

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

35400342225500 is a wasteful number, since it uses less digits than its factorization.

35400342225500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45949 (or 45937 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 35400342225500 its reverse (552224300453), we get a palindrome (35952566525953).

The spelling of 35400342225500 in words is "thirty-five trillion, four hundred billion, three hundred forty-two million, two hundred twenty-five thousand, five hundred".