86519786754240 has 4032 divisors, whose sum is σ = 390280550400000. Its totient is φ = 17467847147520.

The previous prime is 86519786754227. The next prime is 86519786754251. The reversal of 86519786754240 is 4245768791568.

86519786754240 is a `hidden beast` number, since 8 + 6 + 5 + 1 + 9 + 78 + 6 + 7 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 434772797661 + ... + 434772797859.

Almost surely, 2^{86519786754240} is an apocalyptic number.

86519786754240 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 86519786754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195140275200000).

86519786754240 is an abundant number, since it is smaller than the sum of its proper divisors (303760763645760).

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

86519786754240 is a wasteful number, since it uses less digits than its factorization.

86519786754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 86519786754240 in words is "eighty-six trillion, five hundred nineteen billion, seven hundred eighty-six million, seven hundred fifty-four thousand, two hundred forty".