35775275940 has 192 divisors, whose sum is σ = 122253465600. Its totient is φ = 8644952448.

The previous prime is 35775275909. The next prime is 35775275947. The reversal of 35775275940 is 4957257753.

35775275940 is a `hidden beast` number, since 3 + 5 + 77 + 527 + 5 + 9 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (35775275947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160179 + ... + 311781.

It is an arithmetic number, because the mean of its divisors is an integer number (636736800).

Almost surely, 2^35775275940 is an apocalyptic number.

35775275940 is a gapful number since it is divisible by the number (30) 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 35775275940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61126732800).

35775275940 is an abundant number, since it is smaller than the sum of its proper divisors (86478189660).

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

35775275940 is a wasteful number, since it uses less digits than its factorization.

35775275940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151663 (or 151655 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The spelling of 35775275940 in words is "thirty-five billion, seven hundred seventy-five million, two hundred seventy-five thousand, nine hundred forty".