35040527606016 has 81 divisors (see below), whose sum is σ = 101031298792879. Its totient is φ = 11680081156608.

The previous prime is 35040527605913. The next prime is 35040527606027. The reversal of 35040527606016 is 61060672504053.

The square root of 35040527606016 is 5919504.

It is a perfect power (a square), and thus also a powerful number.

35040527606016 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 0 + 5 + 27 + 606 + 0 + 16 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 284074531 + ... + 284197853.

Almost surely, 2^{35040527606016} is an apocalyptic number.

35040527606016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

35040527606016 is the 5919504-th square number.

It is an amenable number.

35040527606016 is an abundant number, since it is smaller than the sum of its proper divisors (65990771186863).

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

35040527606016 is an frugal number, since it uses more digits than its factorization.

35040527606016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246668 (or 123328 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 35040527606016 in words is "thirty-five trillion, forty billion, five hundred twenty-seven million, six hundred six thousand, sixteen".