86026199040 has 784 divisors, whose sum is σ = 321459624288. Its totient is φ = 22072393728.

The previous prime is 86026199023. The next prime is 86026199047. The reversal of 86026199040 is 4099162068.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86026199047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1283973087 + ... + 1283973153.

Almost surely, 2^86026199040 is an apocalyptic number.

86026199040 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 86026199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160729812144).

86026199040 is an abundant number, since it is smaller than the sum of its proper divisors (235433425248).

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

86026199040 is an frugal number, since it uses more digits than its factorization.

86026199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 86026199040 in words is "eighty-six billion, twenty-six million, one hundred ninety-nine thousand, forty".