86390243010400 has 144 divisors (see below), whose sum is σ = 241264865247840. Its totient is φ = 29590499635200.

The previous prime is 86390243010391. The next prime is 86390243010479. The reversal of 86390243010400 is 401034209368.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837165 + ... + 13272364.

It is an arithmetic number, because the mean of its divisors is an integer number (1675450453110).

Almost surely, 2^{86390243010400} is an apocalyptic number.

86390243010400 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 86390243010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120632432623920).

86390243010400 is an abundant number, since it is smaller than the sum of its proper divisors (154874622237440).

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

86390243010400 is a wasteful number, since it uses less digits than its factorization.

86390243010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15110577 (or 15110564 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

Adding to 86390243010400 its reverse (401034209368), we get a palindrome (86791277219768).

The spelling of 86390243010400 in words is "eighty-six trillion, three hundred ninety billion, two hundred forty-three million, ten thousand, four hundred".