79148578642560 has 768 divisors, whose sum is σ = 330814879349760. Its totient is φ = 17022448041984.

The previous prime is 79148578642559. The next prime is 79148578642597. The reversal of 79148578642560 is 6524687584197.

79148578642560 is a `hidden beast` number, since 7 + 9 + 1 + 4 + 8 + 57 + 8 + 6 + 4 + 2 + 560 = 666.

It is a super-2 number, since 2×79148578642560² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3059105784 + ... + 3059131656.

It is an arithmetic number, because the mean of its divisors is an integer number (430748540820).

Almost surely, 2^{79148578642560} is an apocalyptic number.

79148578642560 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 79148578642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165407439674880).

79148578642560 is an abundant number, since it is smaller than the sum of its proper divisors (251666300707200).

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

79148578642560 is a wasteful number, since it uses less digits than its factorization.

79148578642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30385 (or 30370 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 79148578642560 in words is "seventy-nine trillion, one hundred forty-eight billion, five hundred seventy-eight million, six hundred forty-two thousand, five hundred sixty".