35580226500 has 1152 divisors, whose sum is σ = 154543334400. Its totient is φ = 6668697600.

The previous prime is 35580226457. The next prime is 35580226511. The reversal of 35580226500 is 562208553.

It is a happy number.

35580226500 is a `hidden beast` number, since 3 + 5 + 580 + 2 + 26 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 132268366 + ... + 132268634.

It is an arithmetic number, because the mean of its divisors is an integer number (134152200).

Almost surely, 2^35580226500 is an apocalyptic number.

35580226500 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 35580226500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77271667200).

35580226500 is an abundant number, since it is smaller than the sum of its proper divisors (118963107900).

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

35580226500 is a wasteful number, since it uses less digits than its factorization.

35580226500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 35580226500 in words is "thirty-five billion, five hundred eighty million, two hundred twenty-six thousand, five hundred".