86421378954240 has 2816 divisors, whose sum is σ = 372606371758080. Its totient is φ = 18737528832000.

The previous prime is 86421378954227. The next prime is 86421378954277. The reversal of 86421378954240 is 4245987312468.

86421378954240 is a `hidden beast` number, since 8 + 6 + 4 + 2 + 1 + 3 + 7 + 89 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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, 113562915460 + ... + 113562916220.

It is a 1-persistent number, because it is pandigital, but 2⋅86421378954240 = 172842757908480 is not.

Almost surely, 2^{86421378954240} is an apocalyptic number.

86421378954240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86421378954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186303185879040).

86421378954240 is an abundant number, since it is smaller than the sum of its proper divisors (286184992803840).

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

86421378954240 is a wasteful number, since it uses less digits than its factorization.

86421378954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 86421378954240 in words is "eighty-six trillion, four hundred twenty-one billion, three hundred seventy-eight million, nine hundred fifty-four thousand, two hundred forty".