86120511766380 has 2304 divisors, whose sum is σ = 359330130432000. Its totient is φ = 17024493717504.

The previous prime is 86120511766349. The next prime is 86120511766397. The reversal of 86120511766380 is 8366711502168.

It is a happy number.

86120511766380 is a `hidden beast` number, since 8 + 6 + 1 + 20 + 511 + 76 + 6 + 38 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 767 ways as a sum of consecutive naturals, for example, 113765536962 + ... + 113765537718.

It is an arithmetic number, because the mean of its divisors is an integer number (155959258000).

Almost surely, 2^{86120511766380} 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 86120511766380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179665065216000).

86120511766380 is an abundant number, since it is smaller than the sum of its proper divisors (273209618665620).

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

86120511766380 is a wasteful number, since it uses less digits than its factorization.

86120511766380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 86120511766380 in words is "eighty-six trillion, one hundred twenty billion, five hundred eleven million, seven hundred sixty-six thousand, three hundred eighty".