86303293440 has 960 divisors, whose sum is σ = 361470864384. Its totient is φ = 17062428672.

The previous prime is 86303293409. The next prime is 86303293493. The reversal of 86303293440 is 4439230368.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 86303293392 and 86303293401.

It is a congruent number.

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, 380190607 + ... + 380190833.

Almost surely, 2^86303293440 is an apocalyptic number.

86303293440 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 86303293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180735432192).

86303293440 is an abundant number, since it is smaller than the sum of its proper divisors (275167570944).

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

86303293440 is a wasteful number, since it uses less digits than its factorization.

86303293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 86303293440 in words is "eighty-six billion, three hundred three million, two hundred ninety-three thousand, four hundred forty".