79975529210880 has 3168 divisors, whose sum is σ = 321068420120448. Its totient is φ = 19062521856000.

The previous prime is 79975529210873. The next prime is 79975529210891. The reversal of 79975529210880 is 8801292557997.

79975529210880 is a `hidden beast` number, since 7 + 9 + 9 + 7 + 5 + 529 + 2 + 10 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 79975529210799 and 79975529210808.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 791836922830 + ... + 791836922930.

It is an arithmetic number, because the mean of its divisors is an integer number (101347354836).

Almost surely, 2^{79975529210880} 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 79975529210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160534210060224).

79975529210880 is an abundant number, since it is smaller than the sum of its proper divisors (241092890909568).

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

79975529210880 is a wasteful number, since it uses less digits than its factorization.

79975529210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 72.

The spelling of 79975529210880 in words is "seventy-nine trillion, nine hundred seventy-five billion, five hundred twenty-nine million, two hundred ten thousand, eight hundred eighty".