78460249802580 has 288 divisors, whose sum is σ = 243134760960000. Its totient is φ = 20475961519104.

The previous prime is 78460249802503. The next prime is 78460249802593. The reversal of 78460249802580 is 8520894206487.

78460249802580 is a `hidden beast` number, since 7 + 8 + 4 + 6 + 0 + 2 + 49 + 8 + 0 + 2 + 580 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1973872546 + ... + 1973912294.

It is an arithmetic number, because the mean of its divisors is an integer number (844217920000).

Almost surely, 2^{78460249802580} 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 78460249802580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121567380480000).

78460249802580 is an abundant number, since it is smaller than the sum of its proper divisors (164674511157420).

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

78460249802580 is a wasteful number, since it uses less digits than its factorization.

78460249802580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41063 (or 41058 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 78460249802580 in words is "seventy-eight trillion, four hundred sixty billion, two hundred forty-nine million, eight hundred two thousand, five hundred eighty".