79826854464000 has 960 divisors, whose sum is σ = 335588040133632. Its totient is φ = 17857880064000.

The previous prime is 79826854463969. The next prime is 79826854464013. The reversal of 79826854464000 is 46445862897.

79826854464000 is a `hidden beast` number, since 7 + 9 + 8 + 26 + 8 + 544 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 189293380 + ... + 189714620.

Almost surely, 2^{79826854464000} is an apocalyptic number.

79826854464000 is a gapful number since it is divisible by the number (70) 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 79826854464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167794020066816).

79826854464000 is an abundant number, since it is smaller than the sum of its proper divisors (255761185669632).

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

79826854464000 is a wasteful number, since it uses less digits than its factorization.

79826854464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421334 (or 421305 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 79826854464000 in words is "seventy-nine trillion, eight hundred twenty-six billion, eight hundred fifty-four million, four hundred sixty-four thousand".