35116413120 has 504 divisors, whose sum is σ = 132545132928. Its totient is φ = 8522956800.

The previous prime is 35116413119. The next prime is 35116413173. The reversal of 35116413120 is 2131461153.

It is a happy number.

35116413120 is a `hidden beast` number, since 3 + 5 + 1 + 1 + 641 + 3 + 12 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25801240 + ... + 25802600.

Almost surely, 2^35116413120 is an apocalyptic number.

35116413120 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 35116413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66272566464).

35116413120 is an abundant number, since it is smaller than the sum of its proper divisors (97428719808).

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

35116413120 is a wasteful number, since it uses less digits than its factorization.

35116413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 35116413120 its reverse (2131461153), we get a palindrome (37247874273).

The spelling of 35116413120 in words is "thirty-five billion, one hundred sixteen million, four hundred thirteen thousand, one hundred twenty".