78771754368000 has 1408 divisors, whose sum is σ = 302357332742400. Its totient is φ = 20202061824000.

The previous prime is 78771754367987. The next prime is 78771754368007. The reversal of 78771754368000 is 86345717787.

78771754368000 is a `hidden beast` number, since 7 + 8 + 7 + 7 + 1 + 7 + 543 + 6 + 80 + 0 + 0 = 666.

It is a super-3 number, since 3×78771754368000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78771754368007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28162942602 + ... + 28162945398.

Almost surely, 2^{78771754368000} 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 78771754368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151178666371200).

78771754368000 is an abundant number, since it is smaller than the sum of its proper divisors (223585578374400).

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

78771754368000 is a wasteful number, since it uses less digits than its factorization.

78771754368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 78771754368000 in words is "seventy-eight trillion, seven hundred seventy-one billion, seven hundred fifty-four million, three hundred sixty-eight thousand".