2478111796800 has 210 divisors, whose sum is σ = 9108916089218. Its totient is φ = 660829777920.

The previous prime is 2478111796777. The next prime is 2478111796801. The reversal of 2478111796800 is 86971118742.

2478111796800 is a `hidden beast` number, since 2 + 478 + 1 + 1 + 1 + 7 + 96 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4512614976 + 2473599181824 = 67176^2 + 1572768^2 .

It is a super-2 number, since 2×2478111796800² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2478111796801) 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 29 ways as a sum of consecutive naturals, for example, 9431017 + ... + 9690216.

Almost surely, 2^{2478111796800} is an apocalyptic number.

2478111796800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2478111796800 is an abundant number, since it is smaller than the sum of its proper divisors (6630804292418).

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

2478111796800 is a wasteful number, since it uses less digits than its factorization.

2478111796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19121267 (or 19121243 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 2478111796800 in words is "two trillion, four hundred seventy-eight billion, one hundred eleven million, seven hundred ninety-six thousand, eight hundred".