35221469668000 has 768 divisors, whose sum is σ = 109230911741952. Its totient is φ = 10842854400000.

The previous prime is 35221469667947. The next prime is 35221469668027. The reversal of 35221469668000 is 86696412253.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8384065900 + ... + 8384070100.

It is an arithmetic number, because the mean of its divisors is an integer number (142227749664).

Almost surely, 2^{35221469668000} 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 35221469668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54615455870976).

35221469668000 is an abundant number, since it is smaller than the sum of its proper divisors (74009442073952).

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

35221469668000 is a wasteful number, since it uses less digits than its factorization.

35221469668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 35221469668000 in words is "thirty-five trillion, two hundred twenty-one billion, four hundred sixty-nine million, six hundred sixty-eight thousand".