35420415253616 has 160 divisors (see below), whose sum is σ = 74875680149760. Its totient is φ = 16164146515968.

The previous prime is 35420415253607. The next prime is 35420415253621. The reversal of 35420415253616 is 61635251402453.

It is a super-3 number, since 3×35420415253616³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5410171655 + ... + 5410178201.

It is an arithmetic number, because the mean of its divisors is an integer number (467973000936).

Almost surely, 2^{35420415253616} 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 35420415253616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37437840074880).

35420415253616 is an abundant number, since it is smaller than the sum of its proper divisors (39455264896144).

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

35420415253616 is a wasteful number, since it uses less digits than its factorization.

35420415253616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 47.

The spelling of 35420415253616 in words is "thirty-five trillion, four hundred twenty billion, four hundred fifteen million, two hundred fifty-three thousand, six hundred sixteen".