10482179778000 has 240 divisors, whose sum is σ = 41840868965376. Its totient is φ = 2395926777600.

The previous prime is 10482179777989. The next prime is 10482179778011. The reversal of 10482179778000 is 87797128401.

10482179778000 is a `hidden beast` number, since 1 + 0 + 482 + 1 + 7 + 97 + 78 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10482179777989) and next prime (10482179778011).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 41469952 + ... + 41721951.

Almost surely, 2^{10482179778000} is an apocalyptic number.

10482179778000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10482179778000 is an abundant number, since it is smaller than the sum of its proper divisors (31358689187376).

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

10482179778000 is a wasteful number, since it uses less digits than its factorization.

10482179778000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83191939 (or 83191920 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 10482179778000 in words is "ten trillion, four hundred eighty-two billion, one hundred seventy-nine million, seven hundred seventy-eight thousand".