35125508974080 has 960 divisors, whose sum is σ = 139535909219520. Its totient is φ = 7489386971136.

The previous prime is 35125508974037. The next prime is 35125508974133. The reversal of 35125508974080 is 8047980552153.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×35125508974080² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35125508974080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 722886426 + ... + 722935014.

It is an arithmetic number, because the mean of its divisors is an integer number (145349905437).

Almost surely, 2^{35125508974080} is an apocalyptic number.

35125508974080 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 35125508974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69767954609760).

35125508974080 is an abundant number, since it is smaller than the sum of its proper divisors (104410400245440).

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

35125508974080 is a wasteful number, since it uses less digits than its factorization.

35125508974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48759 (or 48736 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 35125508974080 in words is "thirty-five trillion, one hundred twenty-five billion, five hundred eight million, nine hundred seventy-four thousand, eighty".