1900975851450 has 144 divisors (see below), whose sum is σ = 5500790557080. Its totient is φ = 467878602240.

The previous prime is 1900975851349. The next prime is 1900975851473. The reversal of 1900975851450 is 541585790091.

It is a happy number.

1900975851450 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 9 + 7 + 585 + 1 + 4 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4937732361 + 1896038119089 = 70269^2 + 1376967^2 .

It is a super-2 number, since 2×1900975851450² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79951764 + ... + 79975536.

Almost surely, 2^{1900975851450} is an apocalyptic number.

1900975851450 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 1900975851450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750395278540).

1900975851450 is an abundant number, since it is smaller than the sum of its proper divisors (3599814705630).

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

1900975851450 is a wasteful number, since it uses less digits than its factorization.

1900975851450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37473 (or 37465 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 1900975851450 in words is "one trillion, nine hundred billion, nine hundred seventy-five million, eight hundred fifty-one thousand, four hundred fifty".