1978806283200 has 840 divisors, whose sum is σ = 7799625345600. Its totient is φ = 490311843840.

The previous prime is 1978806283199. The next prime is 1978806283213. The reversal of 1978806283200 is 23826088791.

It is a happy number.

1978806283200 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 8 + 0 + 628 + 3 + 2 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 174047116 + ... + 174058484.

Almost surely, 2^{1978806283200} is an apocalyptic number.

1978806283200 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 1978806283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899812672800).

1978806283200 is an abundant number, since it is smaller than the sum of its proper divisors (5820819062400).

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

1978806283200 is a wasteful number, since it uses less digits than its factorization.

1978806283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11475 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1978806283200 in words is "one trillion, nine hundred seventy-eight billion, eight hundred six million, two hundred eighty-three thousand, two hundred".