78271378259040 has 1536 divisors, whose sum is σ = 310964964710400. Its totient is φ = 18498457534464.

The previous prime is 78271378259029. The next prime is 78271378259051. The reversal of 78271378259040 is 4095287317287.

78271378259040 is a `hidden beast` number, since 7 + 8 + 2 + 7 + 1 + 37 + 8 + 2 + 590 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78271378259029) and next prime (78271378259051).

It is a super-2 number, since 2×78271378259040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19553177679 + ... + 19553181681.

It is an arithmetic number, because the mean of its divisors is an integer number (202451148900).

Almost surely, 2^{78271378259040} 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 78271378259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155482482355200).

78271378259040 is an abundant number, since it is smaller than the sum of its proper divisors (232693586451360).

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

78271378259040 is a wasteful number, since it uses less digits than its factorization.

78271378259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 78271378259040 in words is "seventy-eight trillion, two hundred seventy-one billion, three hundred seventy-eight million, two hundred fifty-nine thousand, forty".