1778048521920 has 1120 divisors, whose sum is σ = 7151703451200. Its totient is φ = 415560499200.

The previous prime is 1778048521853. The next prime is 1778048521937. The reversal of 1778048521920 is 291258408771.

1778048521920 is a `hidden beast` number, since 1 + 7 + 78 + 0 + 48 + 521 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×1778048521920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1040402026 + ... + 1040403734.

It is an arithmetic number, because the mean of its divisors is an integer number (6385449510).

Almost surely, 2^{1778048521920} is an apocalyptic number.

1778048521920 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 1778048521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575851725600).

1778048521920 is an abundant number, since it is smaller than the sum of its proper divisors (5373654929280).

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

1778048521920 is a wasteful number, since it uses less digits than its factorization.

1778048521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

It can be divided in two parts, 1778048 and 521920, that added together give a cube (2299968 = 132³).

The spelling of 1778048521920 in words is "one trillion, seven hundred seventy-eight billion, forty-eight million, five hundred twenty-one thousand, nine hundred twenty".