86478090048 has 448 divisors, whose sum is σ = 301617725440. Its totient is φ = 23775897600.

The previous prime is 86478090031. The next prime is 86478090059. The reversal of 86478090048 is 84009087468.

86478090048 is a `hidden beast` number, since 86 + 478 + 0 + 90 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86478089976 and 86478090003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79119390 + ... + 79120482.

Almost surely, 2^86478090048 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 86478090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150808862720).

86478090048 is an abundant number, since it is smaller than the sum of its proper divisors (215139635392).

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

86478090048 is a wasteful number, since it uses less digits than its factorization.

86478090048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 86478090048 in words is "eighty-six billion, four hundred seventy-eight million, ninety thousand, forty-eight".