86369938200 has 1536 divisors, whose sum is σ = 397474560000. Its totient is φ = 17069875200.

The previous prime is 86369938181. The next prime is 86369938211. The reversal of 86369938200 is 283996368.

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 383 ways as a sum of consecutive naturals, for example, 409336095 + ... + 409336305.

It is an arithmetic number, because the mean of its divisors is an integer number (258772500).

Almost surely, 2^86369938200 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 86369938200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198737280000).

86369938200 is an abundant number, since it is smaller than the sum of its proper divisors (311104621800).

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

86369938200 is a wasteful number, since it uses less digits than its factorization.

86369938200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 86369938200 in words is "eighty-six billion, three hundred sixty-nine million, nine hundred thirty-eight thousand, two hundred".