78569955901440 has 960 divisors, whose sum is σ = 287238541806720. Its totient is φ = 20364310609920.

The previous prime is 78569955901373. The next prime is 78569955901483. The reversal of 78569955901440 is 4410955996587.

78569955901440 is a `hidden beast` number, since 7 + 8 + 5 + 6 + 9 + 95 + 5 + 90 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26570832442 + ... + 26570835398.

It is an arithmetic number, because the mean of its divisors is an integer number (299206814382).

Almost surely, 2^{78569955901440} 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 78569955901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143619270903360).

78569955901440 is an abundant number, since it is smaller than the sum of its proper divisors (208668585905280).

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

78569955901440 is a wasteful number, since it uses less digits than its factorization.

78569955901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 78569955901440 in words is "seventy-eight trillion, five hundred sixty-nine billion, nine hundred fifty-five million, nine hundred one thousand, four hundred forty".