86847726000 has 320 divisors, whose sum is σ = 321228011520. Its totient is φ = 19774540800.

The previous prime is 86847725999. The next prime is 86847726013. The reversal of 86847726000 is 62774868.

It is a super-2 number, since 2×86847726000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11294157 + ... + 11301843.

It is an arithmetic number, because the mean of its divisors is an integer number (1003837536).

Almost surely, 2^86847726000 is an apocalyptic number.

86847726000 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 86847726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160614005760).

86847726000 is an abundant number, since it is smaller than the sum of its proper divisors (234380285520).

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

86847726000 is a wasteful number, since it uses less digits than its factorization.

86847726000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7989 (or 7973 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 86847726000 in words is "eighty-six billion, eight hundred forty-seven million, seven hundred twenty-six thousand".