78493067520 has 432 divisors, whose sum is σ = 302409636480. Its totient is φ = 16994893824.

The previous prime is 78493067519. The next prime is 78493067537. The reversal of 78493067520 is 2576039487.

It is a super-2 number, since 2×78493067520² (a number of 23 digits) contains 22 as substring.

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, 9699636 + ... + 9707724.

Almost surely, 2^78493067520 is an apocalyptic number.

78493067520 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 78493067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151204818240).

78493067520 is an abundant number, since it is smaller than the sum of its proper divisors (223916568960).

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

78493067520 is a wasteful number, since it uses less digits than its factorization.

78493067520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 78493067520 in words is "seventy-eight billion, four hundred ninety-three million, sixty-seven thousand, five hundred twenty".