35957137104 has 480 divisors, whose sum is σ = 126936875520. Its totient is φ = 9267609600.

The previous prime is 35957137103. The next prime is 35957137123. The reversal of 35957137104 is 40173175953.

35957137104 is a `hidden beast` number, since 3 + 5 + 9 + 571 + 3 + 71 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 35957137104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35957137103) 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, 42856717 + ... + 42857555.

It is an arithmetic number, because the mean of its divisors is an integer number (264451824).

Almost surely, 2^35957137104 is an apocalyptic number.

35957137104 is a gapful number since it is divisible by the number (34) 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 35957137104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63468437760).

35957137104 is an abundant number, since it is smaller than the sum of its proper divisors (90979738416).

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

35957137104 is a wasteful number, since it uses less digits than its factorization.

35957137104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 35957137104 in words is "thirty-five billion, nine hundred fifty-seven million, one hundred thirty-seven thousand, one hundred four".