79953294551040 has 192 divisors, whose sum is σ = 284208977707200. Its totient is φ = 21320878473216.

The previous prime is 79953294551029. The next prime is 79953294551051. The reversal of 79953294551040 is 4015549235997.

79953294551040 is a `hidden beast` number, since 7 + 9 + 9 + 5 + 32 + 9 + 4 + 551 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (79953294551029) and next prime (79953294551051).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×79953294551040³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 144314982 + ... + 144867941.

It is an arithmetic number, because the mean of its divisors is an integer number (1480255092225).

Almost surely, 2^{79953294551040} is an apocalyptic number.

It is an amenable number.

79953294551040 is an abundant number, since it is smaller than the sum of its proper divisors (204255683156160).

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

79953294551040 is a wasteful number, since it uses less digits than its factorization.

79953294551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289182959 (or 289182933 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 79953294551040 in words is "seventy-nine trillion, nine hundred fifty-three billion, two hundred ninety-four million, five hundred fifty-one thousand, forty".