86479293420 has 288 divisors, whose sum is σ = 299774442240. Its totient is φ = 19990978560.

The previous prime is 86479293409. The next prime is 86479293431. The reversal of 86479293420 is 2439297468.

86479293420 is a `hidden beast` number, since 8 + 6 + 47 + 92 + 93 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (86479293409) and next prime (86479293431).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20245885 + ... + 20250155.

It is an arithmetic number, because the mean of its divisors is an integer number (1040883480).

Almost surely, 2^86479293420 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 86479293420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149887221120).

86479293420 is an abundant number, since it is smaller than the sum of its proper divisors (213295148820).

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

86479293420 is a wasteful number, since it uses less digits than its factorization.

86479293420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 86479293420 in words is "eighty-six billion, four hundred seventy-nine million, two hundred ninety-three thousand, four hundred twenty".