1878308352000 has 1248 divisors, whose sum is σ = 7263278690304. Its totient is φ = 483729408000.

The previous prime is 1878308351987. The next prime is 1878308352007. The reversal of 1878308352000 is 2538038781.

1878308352000 is a `hidden beast` number, since 18 + 7 + 8 + 30 + 83 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1878308352007) 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 95 ways as a sum of consecutive naturals, for example, 3856895757 + ... + 3856896243.

It is an arithmetic number, because the mean of its divisors is an integer number (5819934848).

Almost surely, 2^{1878308352000} is an apocalyptic number.

1878308352000 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 1878308352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631639345152).

1878308352000 is an abundant number, since it is smaller than the sum of its proper divisors (5384970338304).

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

1878308352000 is an frugal number, since it uses more digits than its factorization.

1878308352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1878308352000 in words is "one trillion, eight hundred seventy-eight billion, three hundred eight million, three hundred fifty-two thousand".