78293698560 has 1728 divisors, whose sum is σ = 367040419200. Its totient is φ = 15052308480.

The previous prime is 78293698493. The next prime is 78293698589. The reversal of 78293698560 is 6589639287.

78293698560 is a `hidden beast` number, since 7 + 8 + 2 + 9 + 3 + 69 + 8 + 560 = 666.

It is a super-2 number, since 2×78293698560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1327011811 + ... + 1327011869.

It is an arithmetic number, because the mean of its divisors is an integer number (212407650).

Almost surely, 2^78293698560 is an apocalyptic number.

78293698560 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 78293698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183520209600).

78293698560 is an abundant number, since it is smaller than the sum of its proper divisors (288746720640).

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

78293698560 is a wasteful number, since it uses less digits than its factorization.

78293698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 78293698560 in words is "seventy-eight billion, two hundred ninety-three million, six hundred ninety-eight thousand, five hundred sixty".