79953444000 has 576 divisors, whose sum is σ = 306081659520. Its totient is φ = 19699200000.

The previous prime is 79953443917. The next prime is 79953444023. The reversal of 79953444000 is 44435997.

It is a happy number.

79953444000 is a `hidden beast` number, since 79 + 9 + 534 + 4 + 40 + 0 + 0 = 666.

It is a super-3 number, since 3×79953444000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 28042575 + ... + 28045425.

It is an arithmetic number, because the mean of its divisors is an integer number (531391770).

Almost surely, 2^79953444000 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 79953444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153040829760).

79953444000 is an abundant number, since it is smaller than the sum of its proper divisors (226128215520).

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

79953444000 is a wasteful number, since it uses less digits than its factorization.

79953444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 79953444000 its reverse (44435997), we get a palindrome (79997879997).

The spelling of 79953444000 in words is "seventy-nine billion, nine hundred fifty-three million, four hundred forty-four thousand".