86908225536 has 480 divisors, whose sum is σ = 286689443040. Its totient is φ = 26011238400.

The previous prime is 86908225529. The next prime is 86908225543. The reversal of 86908225536 is 63552280968.

86908225536 is a `hidden beast` number, since 8 + 6 + 9 + 0 + 82 + 2 + 553 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (86908225529) and next prime (86908225543).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177002251 + ... + 177002741.

It is an arithmetic number, because the mean of its divisors is an integer number (597269673).

Almost surely, 2^86908225536 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 86908225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143344721520).

86908225536 is an abundant number, since it is smaller than the sum of its proper divisors (199781217504).

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

86908225536 is a wasteful number, since it uses less digits than its factorization.

86908225536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 86908225536 in words is "eighty-six billion, nine hundred eight million, two hundred twenty-five thousand, five hundred thirty-six".