35223552000 has 1440 divisors, whose sum is σ = 163163931840. Its totient is φ = 7431782400.

The previous prime is 35223551959. The next prime is 35223552017. The reversal of 35223552000 is 25532253.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2709503994 + ... + 2709504006.

It is an arithmetic number, because the mean of its divisors is an integer number (113308286).

Almost surely, 2^35223552000 is an apocalyptic number.

35223552000 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 35223552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81581965920).

35223552000 is an abundant number, since it is smaller than the sum of its proper divisors (127940379840).

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

35223552000 is an equidigital number, since it uses as much as digits as its factorization.

35223552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 35223552000 in words is "thirty-five billion, two hundred twenty-three million, five hundred fifty-two thousand".