35790560512 has 72 divisors (see below), whose sum is σ = 82370223936. Its totient is φ = 15202983936.

The previous prime is 35790560497. The next prime is 35790560563. The reversal of 35790560512 is 21506509753.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114123 + ... + 290869.

It is an arithmetic number, because the mean of its divisors is an integer number (1144030888).

Almost surely, 2^35790560512 is an apocalyptic number.

35790560512 is a gapful number since it is divisible by the number (32) 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 35790560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41185111968).

35790560512 is an abundant number, since it is smaller than the sum of its proper divisors (46579663424).

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

35790560512 is a wasteful number, since it uses less digits than its factorization.

35790560512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176883 (or 176869 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 43.

The spelling of 35790560512 in words is "thirty-five billion, seven hundred ninety million, five hundred sixty thousand, five hundred twelve".