35853228000 has 1152 divisors, whose sum is σ = 145712286720. Its totient is φ = 8302694400.

The previous prime is 35853227989. The next prime is 35853228017. The reversal of 35853228000 is 82235853.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 676475974 + ... + 676476026.

It is an arithmetic number, because the mean of its divisors is an integer number (126486360).

Almost surely, 2^35853228000 is an apocalyptic number.

35853228000 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 35853228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72856143360).

35853228000 is an abundant number, since it is smaller than the sum of its proper divisors (109859058720).

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

35853228000 is a wasteful number, since it uses less digits than its factorization.

35853228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 35853228000 in words is "thirty-five billion, eight hundred fifty-three million, two hundred twenty-eight thousand".