86819509027944 has 576 divisors, whose sum is σ = 318072673152000. Its totient is φ = 21093212125440.

The previous prime is 86819509027891. The next prime is 86819509027967. The reversal of 86819509027944 is 44972090591868.

86819509027944 is a `hidden beast` number, since 8 + 6 + 8 + 1 + 9 + 509 + 0 + 2 + 79 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57505587 + ... + 58996029.

It is an arithmetic number, because the mean of its divisors is an integer number (552209502000).

Almost surely, 2^{86819509027944} is an apocalyptic number.

86819509027944 is a gapful number since it is divisible by the number (84) 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 86819509027944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159036336576000).

86819509027944 is an abundant number, since it is smaller than the sum of its proper divisors (231253164124056).

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

86819509027944 is a wasteful number, since it uses less digits than its factorization.

86819509027944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490578 (or 1490564 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 86819509027944 in words is "eighty-six trillion, eight hundred nineteen billion, five hundred nine million, twenty-seven thousand, nine hundred forty-four".