1878006049920 has 4608 divisors, whose sum is σ = 9751891968000. Its totient is φ = 326069452800.

The previous prime is 1878006049891. The next prime is 1878006049979. The reversal of 1878006049920 is 299406008781.

1878006049920 is a `hidden beast` number, since 1 + 8 + 7 + 8 + 0 + 0 + 604 + 9 + 9 + 20 = 666.

It is a super-2 number, since 2×1878006049920² (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 575 ways as a sum of consecutive naturals, for example, 23772228441 + ... + 23772228519.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296000).

Almost surely, 2^{1878006049920} is an apocalyptic number.

1878006049920 is a gapful number since it is divisible by the number (10) 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 1878006049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875945984000).

1878006049920 is an abundant number, since it is smaller than the sum of its proper divisors (7873885918080).

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

1878006049920 is a wasteful number, since it uses less digits than its factorization.

1878006049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1878006049920 in words is "one trillion, eight hundred seventy-eight billion, six million, forty-nine thousand, nine hundred twenty".