35766655542 has 96 divisors (see below), whose sum is σ = 84328151040. Its totient is φ = 11225083680.

The previous prime is 35766655531. The next prime is 35766655567. The reversal of 35766655542 is 24555666753.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283903 + ... + 2299509.

It is an arithmetic number, because the mean of its divisors is an integer number (878418240).

Almost surely, 2^35766655542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35766655542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42164075520).

35766655542 is an abundant number, since it is smaller than the sum of its proper divisors (48561495498).

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

35766655542 is a wasteful number, since it uses less digits than its factorization.

35766655542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15723 (or 15680 counting only the distinct ones).

The product of its digits is 22680000, while the sum is 54.

The spelling of 35766655542 in words is "thirty-five billion, seven hundred sixty-six million, six hundred fifty-five thousand, five hundred forty-two".