86142503700 has 1008 divisors, whose sum is σ = 331977502080. Its totient is φ = 19160064000.

The previous prime is 86142503693. The next prime is 86142503723. The reversal of 86142503700 is 730524168.

86142503700 is a `hidden beast` number, since 8 + 6 + 142 + 503 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 335 ways as a sum of consecutive naturals, for example, 967893256 + ... + 967893344.

It is an arithmetic number, because the mean of its divisors is an integer number (329342760).

Almost surely, 2^86142503700 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 86142503700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165988751040).

86142503700 is an abundant number, since it is smaller than the sum of its proper divisors (245834998380).

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

86142503700 is a wasteful number, since it uses less digits than its factorization.

86142503700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 86142503700 in words is "eighty-six billion, one hundred forty-two million, five hundred three thousand, seven hundred".