35131986240 has 224 divisors, whose sum is σ = 121251634560. Its totient is φ = 8566726656.

The previous prime is 35131986221. The next prime is 35131986247. The reversal of 35131986240 is 4268913153.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 35131986192 and 35131986201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35131986247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322206 + ... + 1348514.

It is an arithmetic number, because the mean of its divisors is an integer number (541301940).

Almost surely, 2^35131986240 is an apocalyptic number.

35131986240 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 35131986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60625817280).

35131986240 is an abundant number, since it is smaller than the sum of its proper divisors (86119648320).

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

35131986240 is a wasteful number, since it uses less digits than its factorization.

35131986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26449 (or 26439 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 35131986240 in words is "thirty-five billion, one hundred thirty-one million, nine hundred eighty-six thousand, two hundred forty".