86894154000 has 320 divisors, whose sum is σ = 315229824000. Its totient is φ = 22877337600.

The previous prime is 86894153987. The next prime is 86894154023. The reversal of 86894154000 is 45149868.

86894154000 is a `hidden beast` number, since 8 + 68 + 9 + 41 + 540 + 0 + 0 = 666.

It is a super-3 number, since 3×86894154000³ (a number of 34 digits) contains 333 as substring.

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

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, 4255816 + ... + 4276184.

It is an arithmetic number, because the mean of its divisors is an integer number (985093200).

Almost surely, 2^86894154000 is an apocalyptic number.

86894154000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86894154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157614912000).

86894154000 is an abundant number, since it is smaller than the sum of its proper divisors (228335670000).

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

86894154000 is a wasteful number, since it uses less digits than its factorization.

86894154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20480 (or 20458 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 86894154000 in words is "eighty-six billion, eight hundred ninety-four million, one hundred fifty-four thousand".