86520215040 has 640 divisors, whose sum is σ = 332618711040. Its totient is φ = 18758074368.

The previous prime is 86520215009. The next prime is 86520215071. The reversal of 86520215040 is 4051202568.

It is an interprime number because it is at equal distance from previous prime (86520215009) and next prime (86520215071).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×86520215040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86520214992 and 86520215010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206491951 + ... + 206492369.

It is an arithmetic number, because the mean of its divisors is an integer number (519716736).

Almost surely, 2^86520215040 is an apocalyptic number.

86520215040 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 86520215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166309355520).

86520215040 is an abundant number, since it is smaller than the sum of its proper divisors (246098496000).

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

86520215040 is a wasteful number, since it uses less digits than its factorization.

86520215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 86520215040 in words is "eighty-six billion, five hundred twenty million, two hundred fifteen thousand, forty".