35561554600 has 288 divisors, whose sum is σ = 98740153440. Its totient is φ = 11806080000.

The previous prime is 35561554583. The next prime is 35561554603. The reversal of 35561554600 is 645516553.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (35561554603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37551327 + ... + 37552273.

It is an arithmetic number, because the mean of its divisors is an integer number (342847755).

Almost surely, 2^35561554600 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 35561554600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49370076720).

35561554600 is an abundant number, since it is smaller than the sum of its proper divisors (63178598840).

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

35561554600 is a wasteful number, since it uses less digits than its factorization.

35561554600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 35561554600 in words is "thirty-five billion, five hundred sixty-one million, five hundred fifty-four thousand, six hundred".