35361494220800 has 720 divisors, whose sum is σ = 98970484858560. Its totient is φ = 12420907008000.

The previous prime is 35361494220779. The next prime is 35361494220803. The reversal of 35361494220800 is 802249416353.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35361494220803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19766066306 + ... + 19766068094.

It is an arithmetic number, because the mean of its divisors is an integer number (137459006748).

Almost surely, 2^{35361494220800} 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 35361494220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49485242429280).

35361494220800 is an abundant number, since it is smaller than the sum of its proper divisors (63608990637760).

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

35361494220800 is a wasteful number, since it uses less digits than its factorization.

35361494220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 35361494220800 in words is "thirty-five trillion, three hundred sixty-one billion, four hundred ninety-four million, two hundred twenty thousand, eight hundred".