86914584852480 has 1920 divisors, whose sum is σ = 389920474944000. Its totient is φ = 17989478645760.

The previous prime is 86914584852467. The next prime is 86914584852493. The reversal of 86914584852480 is 8425848541968.

86914584852480 is a `hidden beast` number, since 8 + 6 + 9 + 1 + 4 + 58 + 48 + 52 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (86914584852467) and next prime (86914584852493).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 86914584852399 and 86914584852408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17180188191 + ... + 17180193249.

It is an arithmetic number, because the mean of its divisors is an integer number (203083580700).

Almost surely, 2^{86914584852480} is an apocalyptic number.

86914584852480 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 86914584852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194960237472000).

86914584852480 is an abundant number, since it is smaller than the sum of its proper divisors (303005890091520).

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

86914584852480 is a wasteful number, since it uses less digits than its factorization.

86914584852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 707788800, while the sum is 72.

The spelling of 86914584852480 in words is "eighty-six trillion, nine hundred fourteen billion, five hundred eighty-four million, eight hundred fifty-two thousand, four hundred eighty".