86222635773120 has 5376 divisors, whose sum is σ = 424411752038400. Its totient is φ = 16055038771200.

The previous prime is 86222635773107. The next prime is 86222635773227. The reversal of 86222635773120 is 2137753622268.

86222635773120 is a `hidden beast` number, since 8 + 6 + 2 + 2 + 2 + 63 + 577 + 3 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×86222635773120² (a number of 29 digits) contains 22 as substring.

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, 304673624499 + ... + 304673624781.

It is an arithmetic number, because the mean of its divisors is an integer number (78945638400).

Almost surely, 2^{86222635773120} is an apocalyptic number.

86222635773120 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 86222635773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212205876019200).

86222635773120 is an abundant number, since it is smaller than the sum of its proper divisors (338189116265280).

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

86222635773120 is a wasteful number, since it uses less digits than its factorization.

86222635773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 86222635773120 in words is "eighty-six trillion, two hundred twenty-two billion, six hundred thirty-five million, seven hundred seventy-three thousand, one hundred twenty".