78100289454240 has 768 divisors, whose sum is σ = 292468840473600. Its totient is φ = 19416991334400.

The previous prime is 78100289454203. The next prime is 78100289454247. The reversal of 78100289454240 is 4245498200187.

78100289454240 is a `hidden beast` number, since 7 + 8 + 1 + 0 + 0 + 2 + 8 + 94 + 542 + 4 + 0 = 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 (78100289454247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4599266550 + ... + 4599283530.

It is an arithmetic number, because the mean of its divisors is an integer number (380818802700).

Almost surely, 2^{78100289454240} 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 78100289454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146234420236800).

78100289454240 is an abundant number, since it is smaller than the sum of its proper divisors (214368551019360).

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

78100289454240 is a wasteful number, since it uses less digits than its factorization.

78100289454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18198 (or 18184 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 78100289454240 in words is "seventy-eight trillion, one hundred billion, two hundred eighty-nine million, four hundred fifty-four thousand, two hundred forty".