35002052140000 has 240 divisors, whose sum is σ = 94091122840176. Its totient is φ = 12707340800000.

The previous prime is 35002052139949. The next prime is 35002052140079. The reversal of 35002052140000 is 4125020053.

It is a super-2 number, since 2×35002052140000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135611070 + ... + 135868930.

Almost surely, 2^{35002052140000} 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 35002052140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47045561420088).

35002052140000 is an abundant number, since it is smaller than the sum of its proper divisors (59089070700176).

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

35002052140000 is a wasteful number, since it uses less digits than its factorization.

35002052140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258519 (or 258496 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 35002052140000 its reverse (4125020053), we get a palindrome (35006177160053).

The spelling of 35002052140000 in words is "thirty-five trillion, two billion, fifty-two million, one hundred forty thousand".