86977210320 has 2400 divisors, whose sum is σ = 434483191296. Its totient is φ = 15656509440.

The previous prime is 86977210261. The next prime is 86977210339. The reversal of 86977210320 is 2301277968.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1641079414 + ... + 1641079466.

Almost surely, 2^86977210320 is an apocalyptic number.

86977210320 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 86977210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217241595648).

86977210320 is an abundant number, since it is smaller than the sum of its proper divisors (347505980976).

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

86977210320 is a wasteful number, since it uses less digits than its factorization.

86977210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 86977210320 in words is "eighty-six billion, nine hundred seventy-seven million, two hundred ten thousand, three hundred twenty".