1900508080350 has 192 divisors, whose sum is σ = 5187717964800. Its totient is φ = 460419520000.

The previous prime is 1900508080333. The next prime is 1900508080381. The reversal of 1900508080350 is 530808050091.

It is a super-2 number, since 2×1900508080350² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1900508080299 and 1900508080308.

It is a congruent number.

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, 469375126 + ... + 469379174.

It is an arithmetic number, because the mean of its divisors is an integer number (27019364400).

Almost surely, 2^{1900508080350} is an apocalyptic number.

1900508080350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900508080350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593858982400).

1900508080350 is an abundant number, since it is smaller than the sum of its proper divisors (3287209884450).

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

1900508080350 is a wasteful number, since it uses less digits than its factorization.

1900508080350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 1900508080350 in words is "one trillion, nine hundred billion, five hundred eight million, eighty thousand, three hundred fifty".