353850480000 has 480 divisors, whose sum is σ = 1288708106400. Its totient is φ = 93150720000.

The previous prime is 353850479963. The next prime is 353850480029. The reversal of 353850480000 is 84058353.

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 56876890 + ... + 56883110.

It is an arithmetic number, because the mean of its divisors is an integer number (2684808555).

Almost surely, 2^353850480000 is an apocalyptic number.

353850480000 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 353850480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644354053200).

353850480000 is an abundant number, since it is smaller than the sum of its proper divisors (934857626400).

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

353850480000 is an equidigital number, since it uses as much as digits as its factorization.

353850480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6310 counting only the distinct ones).

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

The spelling of 353850480000 in words is "three hundred fifty-three billion, eight hundred fifty million, four hundred eighty thousand".