86438754000 has 120 divisors (see below), whose sum is σ = 301901817672. Its totient is φ = 23050329600.

The previous prime is 86438753977. The next prime is 86438754001. The reversal of 86438754000 is 45783468.

It can be written as a sum of positive squares in 4 ways, for example, as 23940753984 + 62498000016 = 154728^2 + 249996^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86438754001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2383077 + ... + 2419076.

Almost surely, 2^86438754000 is an apocalyptic number.

86438754000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86438754000 is an abundant number, since it is smaller than the sum of its proper divisors (215463063672).

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

86438754000 is a wasteful number, since it uses less digits than its factorization.

86438754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802182 (or 4802163 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 86438754000 in words is "eighty-six billion, four hundred thirty-eight million, seven hundred fifty-four thousand".