86162401011120 has 320 divisors, whose sum is σ = 305974962349056. Its totient is φ = 19648222986240.

The previous prime is 86162401011101. The next prime is 86162401011133. The reversal of 86162401011120 is 2111010426168.

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, 6402787432 + ... + 6402800888.

Almost surely, 2^{86162401011120} is an apocalyptic number.

86162401011120 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 86162401011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152987481174528).

86162401011120 is an abundant number, since it is smaller than the sum of its proper divisors (219812561337936).

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

86162401011120 is a wasteful number, since it uses less digits than its factorization.

86162401011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22108 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

Adding to 86162401011120 its reverse (2111010426168), we get a palindrome (88273411437288).

The spelling of 86162401011120 in words is "eighty-six trillion, one hundred sixty-two billion, four hundred one million, eleven thousand, one hundred twenty".