86271961248 has 192 divisors, whose sum is σ = 275198394240. Its totient is φ = 26076672000.

The previous prime is 86271961213. The next prime is 86271961249. The reversal of 86271961248 is 84216917268.

It is a happy number.

86271961248 is a `hidden beast` number, since 8 + 6 + 2 + 7 + 19 + 612 + 4 + 8 = 666.

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 = 86271961194 and 86271961203.

It is not an unprimeable number, because it can be changed into a prime (86271961249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3799786 + ... + 3822422.

It is an arithmetic number, because the mean of its divisors is an integer number (1433324970).

Almost surely, 2^86271961248 is an apocalyptic number.

86271961248 is a gapful number since it is divisible by the number (88) 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 86271961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137599197120).

86271961248 is an abundant number, since it is smaller than the sum of its proper divisors (188926432992).

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

86271961248 is a wasteful number, since it uses less digits than its factorization.

86271961248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23068 (or 23054 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 86271961248 in words is "eighty-six billion, two hundred seventy-one million, nine hundred sixty-one thousand, two hundred forty-eight".