86030538048 has 784 divisors, whose sum is σ = 329095339776. Its totient is φ = 21678243840.

The previous prime is 86030538023. The next prime is 86030538073. The reversal of 86030538048 is 84083503068.

86030538048 is a `hidden beast` number, since 8 + 603 + 0 + 5 + 38 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (86030538023) and next prime (86030538073).

It is a junction number, because it is equal to n+sod(n) for n = 86030537994 and 86030538012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 97650568 + ... + 97651448.

It is an arithmetic number, because the mean of its divisors is an integer number (419764464).

Almost surely, 2^86030538048 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 86030538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164547669888).

86030538048 is an abundant number, since it is smaller than the sum of its proper divisors (243064801728).

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

86030538048 is a wasteful number, since it uses less digits than its factorization.

86030538048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 86030538048 in words is "eighty-six billion, thirty million, five hundred thirty-eight thousand, forty-eight".