1900576483968 has 128 divisors (see below), whose sum is σ = 5370708767040. Its totient is φ = 593432985600.

The previous prime is 1900576483961. The next prime is 1900576484011. The reversal of 1900576483968 is 8693846750091.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1900576483968² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1900576483899 and 1900576483908.

It is not an unprimeable number, because it can be changed into a prime (1900576483961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687498 + ... + 2067318.

Almost surely, 2^{1900576483968} 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 1900576483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685354383520).

1900576483968 is an abundant number, since it is smaller than the sum of its proper divisors (3470132283072).

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

1900576483968 is a wasteful number, since it uses less digits than its factorization.

1900576483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380066 (or 1380054 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 1900576483968 in words is "one trillion, nine hundred billion, five hundred seventy-six million, four hundred eighty-three thousand, nine hundred sixty-eight".