35656225920 has 576 divisors, whose sum is σ = 148563979200. Its totient is φ = 8148252672.

The previous prime is 35656225903. The next prime is 35656225973. The reversal of 35656225920 is 2952265653.

35656225920 is a `hidden beast` number, since 3 + 5 + 6 + 56 + 2 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 7618141 + ... + 7622819.

It is an arithmetic number, because the mean of its divisors is an integer number (257923575).

Almost surely, 2^35656225920 is an apocalyptic number.

35656225920 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 35656225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74281989600).

35656225920 is an abundant number, since it is smaller than the sum of its proper divisors (112907753280).

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

35656225920 is an equidigital number, since it uses as much as digits as its factorization.

35656225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 35656225920 in words is "thirty-five billion, six hundred fifty-six million, two hundred twenty-five thousand, nine hundred twenty".