79100419200 has 384 divisors, whose sum is σ = 285581721600. Its totient is φ = 19084185600.

The previous prime is 79100419199. The next prime is 79100419201. The reversal of 79100419200 is 291400197.

It is an interprime number because it is at equal distance from previous prime (79100419199) and next prime (79100419201).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (79100419201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23547121 + ... + 23550479.

It is an arithmetic number, because the mean of its divisors is an integer number (743702400).

Almost surely, 2^79100419200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79100419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142790860800).

79100419200 is an abundant number, since it is smaller than the sum of its proper divisors (206481302400).

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

79100419200 is a wasteful number, since it uses less digits than its factorization.

79100419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

Adding to 79100419200 its reverse (291400197), we get a palindrome (79391819397).

The spelling of 79100419200 in words is "seventy-nine billion, one hundred million, four hundred nineteen thousand, two hundred".