86227873752780 has 288 divisors, whose sum is σ = 269235622656000. Its totient is φ = 22329774365184.

The previous prime is 86227873752737. The next prime is 86227873752799. The reversal of 86227873752780 is 8725737872268.

86227873752780 is a `hidden beast` number, since 8 + 6 + 2 + 27 + 8 + 73 + 7 + 527 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86227873752699 and 86227873752708.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622069921 + ... + 622208519.

It is an arithmetic number, because the mean of its divisors is an integer number (934845912000).

Almost surely, 2^{86227873752780} 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 86227873752780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134617811328000).

86227873752780 is an abundant number, since it is smaller than the sum of its proper divisors (183007748903220).

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

86227873752780 is a wasteful number, since it uses less digits than its factorization.

86227873752780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139413 (or 139408 counting only the distinct ones).

The product of its (nonzero) digits is 885104640, while the sum is 72.

The spelling of 86227873752780 in words is "eighty-six trillion, two hundred twenty-seven billion, eight hundred seventy-three million, seven hundred fifty-two thousand, seven hundred eighty".