86271890031040 has 896 divisors, whose sum is σ = 257195409408000. Its totient is φ = 27486445916160.

The previous prime is 86271890031029. The next prime is 86271890031049. The reversal of 86271890031040 is 4013009817268.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86271890031049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16492425225 + ... + 16492430455.

It is an arithmetic number, because the mean of its divisors is an integer number (287048448000).

Almost surely, 2^{86271890031040} is an apocalyptic number.

86271890031040 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 86271890031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128597704704000).

86271890031040 is an abundant number, since it is smaller than the sum of its proper divisors (170923519376960).

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

86271890031040 is a wasteful number, since it uses less digits than its factorization.

86271890031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 86271890031040 in words is "eighty-six trillion, two hundred seventy-one billion, eight hundred ninety million, thirty-one thousand, forty".