35561250972 has 144 divisors (see below), whose sum is σ = 102494115360. Its totient is φ = 10305667584.

The previous prime is 35561250941. The next prime is 35561250979. The reversal of 35561250972 is 27905216553.

35561250972 is a `hidden beast` number, since 3 + 556 + 1 + 2 + 5 + 0 + 97 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35561250979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1526758 + ... + 1549874.

It is an arithmetic number, because the mean of its divisors is an integer number (711764690).

Almost surely, 2^35561250972 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 35561250972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51247057680).

35561250972 is an abundant number, since it is smaller than the sum of its proper divisors (66932864388).

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

35561250972 is a wasteful number, since it uses less digits than its factorization.

35561250972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23332 (or 23327 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 35561250972 in words is "thirty-five billion, five hundred sixty-one million, two hundred fifty thousand, nine hundred seventy-two".