79268252400000 has 3072 divisors, whose sum is σ = 317811658752000. Its totient is φ = 19651507200000.

The previous prime is 79268252399977. The next prime is 79268252400017. The reversal of 79268252400000 is 425286297.

It is a super-3 number, since 3×79268252400000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1003395599961 + ... + 1003395600039.

It is an arithmetic number, because the mean of its divisors is an integer number (103454316000).

Almost surely, 2^{79268252400000} 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 79268252400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158905829376000).

79268252400000 is an abundant number, since it is smaller than the sum of its proper divisors (238543406352000).

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

79268252400000 is an frugal number, since it uses more digits than its factorization.

79268252400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 79268252400000 its reverse (425286297), we get a palindrome (79268677686297).

The spelling of 79268252400000 in words is "seventy-nine trillion, two hundred sixty-eight billion, two hundred fifty-two million, four hundred thousand".