79281865247200 has 576 divisors, whose sum is σ = 245075677152768. Its totient is φ = 24325617254400.

The previous prime is 79281865247153. The next prime is 79281865247227. The reversal of 79281865247200 is 274256818297.

It is a happy number.

It is a super-2 number, since 2×79281865247200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6838764604 + ... + 6838776196.

It is an arithmetic number, because the mean of its divisors is an integer number (425478606168).

Almost surely, 2^{79281865247200} is an apocalyptic number.

79281865247200 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 79281865247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122537838576384).

79281865247200 is an abundant number, since it is smaller than the sum of its proper divisors (165793811905568).

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

79281865247200 is a wasteful number, since it uses less digits than its factorization.

79281865247200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13355 (or 13342 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 79281865247200 in words is "seventy-nine trillion, two hundred eighty-one billion, eight hundred sixty-five million, two hundred forty-seven thousand, two hundred".