1000877948928 has 896 divisors, whose sum is σ = 3537936858960. Its totient is φ = 279010344960.

The previous prime is 1000877948911. The next prime is 1000877948933. The reversal of 1000877948928 is 8298497780001.

1000877948928 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 87 + 79 + 489 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3415965550 + ... + 3415965842.

Almost surely, 2^{1000877948928} is an apocalyptic number.

1000877948928 is a gapful number since it is divisible by the number (18) 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 1000877948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768968429480).

1000877948928 is an abundant number, since it is smaller than the sum of its proper divisors (2537058910032).

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

1000877948928 is an frugal number, since it uses more digits than its factorization.

1000877948928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 1000877948928 in words is "one trillion, eight hundred seventy-seven million, nine hundred forty-eight thousand, nine hundred twenty-eight".