78187602570480 has 1680 divisors, whose sum is σ = 322595712481536. Its totient is φ = 17528562155520.

The previous prime is 78187602570437. The next prime is 78187602570499. The reversal of 78187602570480 is 8407520678187.

78187602570480 is a `hidden beast` number, since 7 + 8 + 1 + 8 + 7 + 60 + 25 + 70 + 480 = 666.

It is a super-2 number, since 2×78187602570480² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 335 ways as a sum of consecutive naturals, for example, 5194146634 + ... + 5194161686.

Almost surely, 2^{78187602570480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78187602570480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161297856240768).

78187602570480 is an abundant number, since it is smaller than the sum of its proper divisors (244408109911056).

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

78187602570480 is a wasteful number, since it uses less digits than its factorization.

78187602570480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15158 (or 15124 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 78187602570480 in words is "seventy-eight trillion, one hundred eighty-seven billion, six hundred two million, five hundred seventy thousand, four hundred eighty".