35457273655104 has 672 divisors, whose sum is σ = 116507750768640. Its totient is φ = 9456050946048.

The previous prime is 35457273655093. The next prime is 35457273655147. The reversal of 35457273655104 is 40155637275453.

It is a tau number, because it is divible by the number of its divisors (672).

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, 10053095389 + ... + 10053098915.

It is an arithmetic number, because the mean of its divisors is an integer number (173374629120).

Almost surely, 2^{35457273655104} is an apocalyptic number.

35457273655104 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 35457273655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58253875384320).

35457273655104 is an abundant number, since it is smaller than the sum of its proper divisors (81050477113536).

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

35457273655104 is a wasteful number, since it uses less digits than its factorization.

35457273655104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 57.

The spelling of 35457273655104 in words is "thirty-five trillion, four hundred fifty-seven billion, two hundred seventy-three million, six hundred fifty-five thousand, one hundred four".