79050456960 has 512 divisors, whose sum is σ = 275544529920. Its totient is φ = 19198771200.

The previous prime is 79050456959. The next prime is 79050456967. The reversal of 79050456960 is 6965405097.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79050456967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211931334 + ... + 211931706.

It is an arithmetic number, because the mean of its divisors is an integer number (538172910).

Almost surely, 2^79050456960 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 79050456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137772264960).

79050456960 is an abundant number, since it is smaller than the sum of its proper divisors (196494072960).

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

79050456960 is a wasteful number, since it uses less digits than its factorization.

79050456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 79050456960 in words is "seventy-nine billion, fifty million, four hundred fifty-six thousand, nine hundred sixty".