35066692088064 has 2592 divisors, whose sum is σ = 141165429350400. Its totient is φ = 8468489502720.

The previous prime is 35066692088059. The next prime is 35066692088167. The reversal of 35066692088064 is 46088029666053.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 35066692087992 and 35066692088010.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43345725292 + ... + 43345726100.

It is an arithmetic number, because the mean of its divisors is an integer number (54461971200).

Almost surely, 2^{35066692088064} 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 35066692088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70582714675200).

35066692088064 is an abundant number, since it is smaller than the sum of its proper divisors (106098737262336).

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

35066692088064 is a wasteful number, since it uses less digits than its factorization.

35066692088064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 35066692088064 in words is "thirty-five trillion, sixty-six billion, six hundred ninety-two million, eighty-eight thousand, sixty-four".