35131385016 has 384 divisors, whose sum is σ = 126787046400. Its totient is φ = 8775993600.

The previous prime is 35131385011. The next prime is 35131385027. The reversal of 35131385016 is 61058313153.

35131385016 is a `hidden beast` number, since 3 + 5 + 13 + 138 + 501 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35131385011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7093341 + ... + 7098291.

It is an arithmetic number, because the mean of its divisors is an integer number (330174600).

Almost surely, 2^35131385016 is an apocalyptic number.

35131385016 is a gapful number since it is divisible by the number (36) 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 35131385016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63393523200).

35131385016 is an abundant number, since it is smaller than the sum of its proper divisors (91655661384).

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

35131385016 is a wasteful number, since it uses less digits than its factorization.

35131385016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 35131385016 its reverse (61058313153), we get a palindrome (96189698169).

The spelling of 35131385016 in words is "thirty-five billion, one hundred thirty-one million, three hundred eighty-five thousand, sixteen".