79148482560 has 864 divisors, whose sum is σ = 329771699712. Its totient is φ = 17836277760.

The previous prime is 79148482541. The next prime is 79148482583. The reversal of 79148482560 is 6528484197.

It is a happy number.

79148482560 is a `hidden beast` number, since 79 + 1 + 4 + 8 + 4 + 8 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 79148482497 and 79148482506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114767325 + ... + 1114767395.

It is an arithmetic number, because the mean of its divisors is an integer number (381680208).

Almost surely, 2^79148482560 is an apocalyptic number.

79148482560 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 79148482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164885849856).

79148482560 is an abundant number, since it is smaller than the sum of its proper divisors (250623217152).

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

79148482560 is an frugal number, since it uses more digits than its factorization.

79148482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 79148482560 in words is "seventy-nine billion, one hundred forty-eight million, four hundred eighty-two thousand, five hundred sixty".