35498996449280 has 960 divisors, whose sum is σ = 109170542638080. Its totient is φ = 10781831725056.

The previous prime is 35498996449187. The next prime is 35498996449453. The reversal of 35498996449280 is 8294469989453.

It is a super-2 number, since 2×35498996449280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a junction number, because it is equal to n+sod(n) for n = 35498996449195 and 35498996449204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18912623702 + ... + 18912625578.

It is an arithmetic number, because the mean of its divisors is an integer number (113719315248).

Almost surely, 2^{35498996449280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35498996449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54585271319040).

35498996449280 is an abundant number, since it is smaller than the sum of its proper divisors (73671546188800).

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

35498996449280 is a wasteful number, since it uses less digits than its factorization.

35498996449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 4837294080, while the sum is 80.

The spelling of 35498996449280 in words is "thirty-five trillion, four hundred ninety-eight billion, nine hundred ninety-six million, four hundred forty-nine thousand, two hundred eighty".