78515431488 has 672 divisors, whose sum is σ = 264166502400. Its totient is φ = 22824861696.

The previous prime is 78515431487. The next prime is 78515431531. The reversal of 78515431488 is 88413451587.

78515431488 is a `hidden beast` number, since 7 + 8 + 5 + 1 + 543 + 14 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (78515431487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 618231681 + ... + 618231807.

Almost surely, 2^78515431488 is an apocalyptic number.

78515431488 is a gapful number since it is divisible by the number (78) 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 78515431488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132083251200).

78515431488 is an abundant number, since it is smaller than the sum of its proper divisors (185651070912).

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

78515431488 is a wasteful number, since it uses less digits than its factorization.

78515431488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The spelling of 78515431488 in words is "seventy-eight billion, five hundred fifteen million, four hundred thirty-one thousand, four hundred eighty-eight".