86982673500 has 192 divisors, whose sum is σ = 285003264000. Its totient is φ = 22901486400.

The previous prime is 86982673471. The next prime is 86982673513. The reversal of 86982673500 is 537628968.

It is a happy number.

86982673500 is a `hidden beast` number, since 8 + 69 + 8 + 2 + 6 + 73 + 500 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1025721 + ... + 1107279.

It is an arithmetic number, because the mean of its divisors is an integer number (1484392000).

Almost surely, 2^86982673500 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 86982673500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142501632000).

86982673500 is an abundant number, since it is smaller than the sum of its proper divisors (198020590500).

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

86982673500 is a wasteful number, since it uses less digits than its factorization.

86982673500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81666 (or 81648 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 86982673500 in words is "eighty-six billion, nine hundred eighty-two million, six hundred seventy-three thousand, five hundred".