1978684531200 has 1440 divisors, whose sum is σ = 7880399903376. Its totient is φ = 471104225280.

The previous prime is 1978684531183. The next prime is 1978684531231. The reversal of 1978684531200 is 21354868791.

1978684531200 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 6 + 84 + 531 + 20 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 13259983104 + 1965424548096 = 115152^2 + 1401936^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7699161472 + ... + 7699161728.

It is a 1-persistent number, because it is pandigital, but 2⋅1978684531200 = 3957369062400 is not.

Almost surely, 2^{1978684531200} is an apocalyptic number.

1978684531200 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 1978684531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940199951688).

1978684531200 is an abundant number, since it is smaller than the sum of its proper divisors (5901715372176).

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

1978684531200 is a wasteful number, since it uses less digits than its factorization.

1978684531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1978684531200 in words is "one trillion, nine hundred seventy-eight billion, six hundred eighty-four million, five hundred thirty-one thousand, two hundred".