86972785488 has 240 divisors, whose sum is σ = 263470386816. Its totient is φ = 26710041600.

The previous prime is 86972785481. The next prime is 86972785499. The reversal of 86972785488 is 88458727968.

86972785488 is a `hidden beast` number, since 8 + 6 + 9 + 7 + 2 + 78 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86972785481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12373431 + ... + 12380457.

Almost surely, 2^86972785488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86972785488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131735193408).

86972785488 is an abundant number, since it is smaller than the sum of its proper divisors (176497601328).

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

86972785488 is a wasteful number, since it uses less digits than its factorization.

86972785488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202 (or 7193 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 72.

The spelling of 86972785488 in words is "eighty-six billion, nine hundred seventy-two million, seven hundred eighty-five thousand, four hundred eighty-eight".