86228972820 has 144 divisors (see below), whose sum is σ = 271571384448. Its totient is φ = 22967038080.

The previous prime is 86228972813. The next prime is 86228972861. The reversal of 86228972820 is 2827982268.

86228972820 is a `hidden beast` number, since 8 + 622 + 8 + 9 + 7 + 2 + 8 + 2 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4252105 + ... + 4272335.

It is an arithmetic number, because the mean of its divisors is an integer number (1885912392).

Almost surely, 2^86228972820 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 86228972820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135785692224).

86228972820 is an abundant number, since it is smaller than the sum of its proper divisors (185342411628).

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

86228972820 is a wasteful number, since it uses less digits than its factorization.

86228972820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21132 (or 21118 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 86228972820 in words is "eighty-six billion, two hundred twenty-eight million, nine hundred seventy-two thousand, eight hundred twenty".