35115050742400 has 192 divisors, whose sum is σ = 88602503184000. Its totient is φ = 13745351352320.

The previous prime is 35115050742377. The next prime is 35115050742433. The reversal of 35115050742400 is 424705051153.

It is a self number, because there is not a number n which added to its sum of digits gives 35115050742400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1994144796 + ... + 1994162404.

It is an arithmetic number, because the mean of its divisors is an integer number (461471370750).

Almost surely, 2^{35115050742400} 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 35115050742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44301251592000).

35115050742400 is an abundant number, since it is smaller than the sum of its proper divisors (53487452441600).

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

35115050742400 is a wasteful number, since it uses less digits than its factorization.

35115050742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30939 (or 30922 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

Adding to 35115050742400 its reverse (424705051153), we get a palindrome (35539755793553).

The spelling of 35115050742400 in words is "thirty-five trillion, one hundred fifteen billion, fifty million, seven hundred forty-two thousand, four hundred".